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Finding the Fourth Proportional to 8,554.69, 12,832.40 and 2,711.17

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Solution

The fourth proportional to 8,554.69, 12,832.40 and 2,711.17 is: 4,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.69 : 12,832.40 = 2,711.17 : x
  2. Step 2: Convert to fraction form
    8,554.69/12,832.40 = 2,711.17/x
  3. Step 3: Cross multiply
    8,554.69x = 12,832.40 × 2,711.17
  4. Step 4: Simplify right side
    8,554.69x = 34,790,817.91
  5. Step 5: Solve for x
    x = 34,790,817.91/8,554.69
  6. Step 6: Final answer
    x = 4,066.87

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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.