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Finding the Fourth Proportional to 10,491.46, 15,735.09 and 6,732.11

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Solution

The fourth proportional to 10,491.46, 15,735.09 and 6,732.11 is: 10,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.46 : 15,735.09 = 6,732.11 : x
  2. Step 2: Convert to fraction form
    10,491.46/15,735.09 = 6,732.11/x
  3. Step 3: Cross multiply
    10,491.46x = 15,735.09 × 6,732.11
  4. Step 4: Simplify right side
    10,491.46x = 105,930,356.74
  5. Step 5: Solve for x
    x = 105,930,356.74/10,491.46
  6. Step 6: Final answer
    x = 10,096.82

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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.