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Finding the Fourth Proportional to 7,884.68, 11,827.06 and 2,338.07

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Solution

The fourth proportional to 7,884.68, 11,827.06 and 2,338.07 is: 3,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.68 : 11,827.06 = 2,338.07 : x
  2. Step 2: Convert to fraction form
    7,884.68/11,827.06 = 2,338.07/x
  3. Step 3: Cross multiply
    7,884.68x = 11,827.06 × 2,338.07
  4. Step 4: Simplify right side
    7,884.68x = 27,652,494.17
  5. Step 5: Solve for x
    x = 27,652,494.17/7,884.68
  6. Step 6: Final answer
    x = 3,507.12

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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.