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Finding the Fourth Proportional to 10,731.56, 16,097.54 and 4,491.72

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Solution

The fourth proportional to 10,731.56, 16,097.54 and 4,491.72 is: 6,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.56 : 16,097.54 = 4,491.72 : x
  2. Step 2: Convert to fraction form
    10,731.56/16,097.54 = 4,491.72/x
  3. Step 3: Cross multiply
    10,731.56x = 16,097.54 × 4,491.72
  4. Step 4: Simplify right side
    10,731.56x = 72,305,619.91
  5. Step 5: Solve for x
    x = 72,305,619.91/10,731.56
  6. Step 6: Final answer
    x = 6,737.66

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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.