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Finding the Fourth Proportional to 10,504.89, 15,761.85 and 3,930.24

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Solution

The fourth proportional to 10,504.89, 15,761.85 and 3,930.24 is: 5,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.89 : 15,761.85 = 3,930.24 : x
  2. Step 2: Convert to fraction form
    10,504.89/15,761.85 = 3,930.24/x
  3. Step 3: Cross multiply
    10,504.89x = 15,761.85 × 3,930.24
  4. Step 4: Simplify right side
    10,504.89x = 61,947,853.34
  5. Step 5: Solve for x
    x = 61,947,853.34/10,504.89
  6. Step 6: Final answer
    x = 5,897.05

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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.