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Finding the Fourth Proportional to 7,164.68, 10,747.02 and 2,547.32

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Solution

The fourth proportional to 7,164.68, 10,747.02 and 2,547.32 is: 3,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.68 : 10,747.02 = 2,547.32 : x
  2. Step 2: Convert to fraction form
    7,164.68/10,747.02 = 2,547.32/x
  3. Step 3: Cross multiply
    7,164.68x = 10,747.02 × 2,547.32
  4. Step 4: Simplify right side
    7,164.68x = 27,376,098.99
  5. Step 5: Solve for x
    x = 27,376,098.99/7,164.68
  6. Step 6: Final answer
    x = 3,820.98

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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.