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Finding the Fourth Proportional to 8,488.31, 12,728.28 and 3,489.77

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Solution

The fourth proportional to 8,488.31, 12,728.28 and 3,489.77 is: 5,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.31 : 12,728.28 = 3,489.77 : x
  2. Step 2: Convert to fraction form
    8,488.31/12,728.28 = 3,489.77/x
  3. Step 3: Cross multiply
    8,488.31x = 12,728.28 × 3,489.77
  4. Step 4: Simplify right side
    8,488.31x = 44,418,706.05
  5. Step 5: Solve for x
    x = 44,418,706.05/8,488.31
  6. Step 6: Final answer
    x = 5,232.93

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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.