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Finding the Fourth Proportional to 7,787.72, 10,737.39 and 6,777.92

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Solution

The fourth proportional to 7,787.72, 10,737.39 and 6,777.92 is: 9,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.72 : 10,737.39 = 6,777.92 : x
  2. Step 2: Convert to fraction form
    7,787.72/10,737.39 = 6,777.92/x
  3. Step 3: Cross multiply
    7,787.72x = 10,737.39 × 6,777.92
  4. Step 4: Simplify right side
    7,787.72x = 72,777,170.43
  5. Step 5: Solve for x
    x = 72,777,170.43/7,787.72
  6. Step 6: Final answer
    x = 9,345.12

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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.