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Finding the Fourth Proportional to 10,092.80, 15,139.20 and 6,199.40

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Solution

The fourth proportional to 10,092.80, 15,139.20 and 6,199.40 is: 9,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.80 : 15,139.20 = 6,199.40 : x
  2. Step 2: Convert to fraction form
    10,092.80/15,139.20 = 6,199.40/x
  3. Step 3: Cross multiply
    10,092.80x = 15,139.20 × 6,199.40
  4. Step 4: Simplify right side
    10,092.80x = 93,853,956.48
  5. Step 5: Solve for x
    x = 93,853,956.48/10,092.80
  6. Step 6: Final answer
    x = 9,299.10

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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.