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Finding the Fourth Proportional to 7,884,084.30, 11,804,008.05 and 7,662,900.30

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Solution

The fourth proportional to 7,884,084.30, 11,804,008.05 and 7,662,900.30 is: 11,472,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,084.30 : 11,804,008.05 = 7,662,900.30 : x
  2. Step 2: Convert to fraction form
    7,884,084.30/11,804,008.05 = 7,662,900.30/x
  3. Step 3: Cross multiply
    7,884,084.30x = 11,804,008.05 × 7,662,900.30
  4. Step 4: Simplify right side
    7,884,084.30x = 90,452,936,827,547.42
  5. Step 5: Solve for x
    x = 90,452,936,827,547.42/7,884,084.30
  6. Step 6: Final answer
    x = 11,472,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.