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Finding the Fourth Proportional to 10,104.68, 15,160.02 and 5,177.78

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Solution

The fourth proportional to 10,104.68, 15,160.02 and 5,177.78 is: 7,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.68 : 15,160.02 = 5,177.78 : x
  2. Step 2: Convert to fraction form
    10,104.68/15,160.02 = 5,177.78/x
  3. Step 3: Cross multiply
    10,104.68x = 15,160.02 × 5,177.78
  4. Step 4: Simplify right side
    10,104.68x = 78,495,248.36
  5. Step 5: Solve for x
    x = 78,495,248.36/10,104.68
  6. Step 6: Final answer
    x = 7,768.21

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