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Finding the Fourth Proportional to 11,631.68, 17,447.52 and 4,711.04

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Solution

The fourth proportional to 11,631.68, 17,447.52 and 4,711.04 is: 7,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.68 : 17,447.52 = 4,711.04 : x
  2. Step 2: Convert to fraction form
    11,631.68/17,447.52 = 4,711.04/x
  3. Step 3: Cross multiply
    11,631.68x = 17,447.52 × 4,711.04
  4. Step 4: Simplify right side
    11,631.68x = 82,195,964.62
  5. Step 5: Solve for x
    x = 82,195,964.62/11,631.68
  6. Step 6: Final answer
    x = 7,066.56

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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.