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Finding the Fourth Proportional to 8,554.76, 12,832.50 and 2,711.24

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Solution

The fourth proportional to 8,554.76, 12,832.50 and 2,711.24 is: 4,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.76 : 12,832.50 = 2,711.24 : x
  2. Step 2: Convert to fraction form
    8,554.76/12,832.50 = 2,711.24/x
  3. Step 3: Cross multiply
    8,554.76x = 12,832.50 × 2,711.24
  4. Step 4: Simplify right side
    8,554.76x = 34,791,987.30
  5. Step 5: Solve for x
    x = 34,791,987.30/8,554.76
  6. Step 6: Final answer
    x = 4,066.97

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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.