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Finding the Fourth Proportional to 8,523.86, 12,787.72 and 2,601.28

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Solution

The fourth proportional to 8,523.86, 12,787.72 and 2,601.28 is: 3,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.86 : 12,787.72 = 2,601.28 : x
  2. Step 2: Convert to fraction form
    8,523.86/12,787.72 = 2,601.28/x
  3. Step 3: Cross multiply
    8,523.86x = 12,787.72 × 2,601.28
  4. Step 4: Simplify right side
    8,523.86x = 33,264,440.28
  5. Step 5: Solve for x
    x = 33,264,440.28/8,523.86
  6. Step 6: Final answer
    x = 3,902.51

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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.