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Finding the Fourth Proportional to 10,491.74, 14,478.15 and 5,711.69

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Solution

The fourth proportional to 10,491.74, 14,478.15 and 5,711.69 is: 7,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.74 : 14,478.15 = 5,711.69 : x
  2. Step 2: Convert to fraction form
    10,491.74/14,478.15 = 5,711.69/x
  3. Step 3: Cross multiply
    10,491.74x = 14,478.15 × 5,711.69
  4. Step 4: Simplify right side
    10,491.74x = 82,694,762.19
  5. Step 5: Solve for x
    x = 82,694,762.19/10,491.74
  6. Step 6: Final answer
    x = 7,881.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.