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Finding the Fourth Proportional to 10,407.89, 15,617.95 and 3,838.66

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Solution

The fourth proportional to 10,407.89, 15,617.95 and 3,838.66 is: 5,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.89 : 15,617.95 = 3,838.66 : x
  2. Step 2: Convert to fraction form
    10,407.89/15,617.95 = 3,838.66/x
  3. Step 3: Cross multiply
    10,407.89x = 15,617.95 × 3,838.66
  4. Step 4: Simplify right side
    10,407.89x = 59,951,951.31
  5. Step 5: Solve for x
    x = 59,951,951.31/10,407.89
  6. Step 6: Final answer
    x = 5,760.24

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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.