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Finding the Fourth Proportional to 7,787.25, 10,747.87 and 4,878.15

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Solution

The fourth proportional to 7,787.25, 10,747.87 and 4,878.15 is: 6,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.25 : 10,747.87 = 4,878.15 : x
  2. Step 2: Convert to fraction form
    7,787.25/10,747.87 = 4,878.15/x
  3. Step 3: Cross multiply
    7,787.25x = 10,747.87 × 4,878.15
  4. Step 4: Simplify right side
    7,787.25x = 52,429,722.04
  5. Step 5: Solve for x
    x = 52,429,722.04/7,787.25
  6. Step 6: Final answer
    x = 6,732.76

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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.