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Finding the Fourth Proportional to 10,299.80, 15,446.92 and 5,104.28

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Solution

The fourth proportional to 10,299.80, 15,446.92 and 5,104.28 is: 7,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.80 : 15,446.92 = 5,104.28 : x
  2. Step 2: Convert to fraction form
    10,299.80/15,446.92 = 5,104.28/x
  3. Step 3: Cross multiply
    10,299.80x = 15,446.92 × 5,104.28
  4. Step 4: Simplify right side
    10,299.80x = 78,845,404.82
  5. Step 5: Solve for x
    x = 78,845,404.82/10,299.80
  6. Step 6: Final answer
    x = 7,655.04

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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.