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Finding the Fourth Proportional to 8,508.16, 12,757.85 and 3,824.17

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Solution

The fourth proportional to 8,508.16, 12,757.85 and 3,824.17 is: 5,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.16 : 12,757.85 = 3,824.17 : x
  2. Step 2: Convert to fraction form
    8,508.16/12,757.85 = 3,824.17/x
  3. Step 3: Cross multiply
    8,508.16x = 12,757.85 × 3,824.17
  4. Step 4: Simplify right side
    8,508.16x = 48,788,187.23
  5. Step 5: Solve for x
    x = 48,788,187.23/8,508.16
  6. Step 6: Final answer
    x = 5,734.28

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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.