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Finding the Fourth Proportional to 10,405.31, 15,608.03 and 4,165.85

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Solution

The fourth proportional to 10,405.31, 15,608.03 and 4,165.85 is: 6,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.31 : 15,608.03 = 4,165.85 : x
  2. Step 2: Convert to fraction form
    10,405.31/15,608.03 = 4,165.85/x
  3. Step 3: Cross multiply
    10,405.31x = 15,608.03 × 4,165.85
  4. Step 4: Simplify right side
    10,405.31x = 65,020,612.91
  5. Step 5: Solve for x
    x = 65,020,612.91/10,405.31
  6. Step 6: Final answer
    x = 6,248.79

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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.