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Finding the Fourth Proportional to 8,876.16, 12,257.28 and 5,737.68

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Solution

The fourth proportional to 8,876.16, 12,257.28 and 5,737.68 is: 7,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.16 : 12,257.28 = 5,737.68 : x
  2. Step 2: Convert to fraction form
    8,876.16/12,257.28 = 5,737.68/x
  3. Step 3: Cross multiply
    8,876.16x = 12,257.28 × 5,737.68
  4. Step 4: Simplify right side
    8,876.16x = 70,328,350.31
  5. Step 5: Solve for x
    x = 70,328,350.31/8,876.16
  6. Step 6: Final answer
    x = 7,923.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.