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Finding the Fourth Proportional to 10,404.28, 15,592.92 and 7,930

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Solution

The fourth proportional to 10,404.28, 15,592.92 and 7,930 is: 11,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.28 : 15,592.92 = 7,930 : x
  2. Step 2: Convert to fraction form
    10,404.28/15,592.92 = 7,930/x
  3. Step 3: Cross multiply
    10,404.28x = 15,592.92 × 7,930
  4. Step 4: Simplify right side
    10,404.28x = 123,651,855.60
  5. Step 5: Solve for x
    x = 123,651,855.60/10,404.28
  6. Step 6: Final answer
    x = 11,884.71

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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.