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Finding the Fourth Proportional to 8,463.68, 11,680.32 and 4,737.44

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Solution

The fourth proportional to 8,463.68, 11,680.32 and 4,737.44 is: 6,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.68 : 11,680.32 = 4,737.44 : x
  2. Step 2: Convert to fraction form
    8,463.68/11,680.32 = 4,737.44/x
  3. Step 3: Cross multiply
    8,463.68x = 11,680.32 × 4,737.44
  4. Step 4: Simplify right side
    8,463.68x = 55,334,815.18
  5. Step 5: Solve for x
    x = 55,334,815.18/8,463.68
  6. Step 6: Final answer
    x = 6,537.91

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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.