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Finding the Fourth Proportional to 10,490.96, 15,734.34 and 6,731.61

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Solution

The fourth proportional to 10,490.96, 15,734.34 and 6,731.61 is: 10,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.96 : 15,734.34 = 6,731.61 : x
  2. Step 2: Convert to fraction form
    10,490.96/15,734.34 = 6,731.61/x
  3. Step 3: Cross multiply
    10,490.96x = 15,734.34 × 6,731.61
  4. Step 4: Simplify right side
    10,490.96x = 105,917,440.49
  5. Step 5: Solve for x
    x = 105,917,440.49/10,490.96
  6. Step 6: Final answer
    x = 10,096.07

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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.