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Finding the Fourth Proportional to 10,491.62, 14,479.46 and 7,834.42

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Solution

The fourth proportional to 10,491.62, 14,479.46 and 7,834.42 is: 10,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.62 : 14,479.46 = 7,834.42 : x
  2. Step 2: Convert to fraction form
    10,491.62/14,479.46 = 7,834.42/x
  3. Step 3: Cross multiply
    10,491.62x = 14,479.46 × 7,834.42
  4. Step 4: Simplify right side
    10,491.62x = 113,438,171.01
  5. Step 5: Solve for x
    x = 113,438,171.01/10,491.62
  6. Step 6: Final answer
    x = 10,812.26

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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.