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Finding the Fourth Proportional to 8,524.84, 12,787.26 and 2,681.90

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Solution

The fourth proportional to 8,524.84, 12,787.26 and 2,681.90 is: 4,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.84 : 12,787.26 = 2,681.90 : x
  2. Step 2: Convert to fraction form
    8,524.84/12,787.26 = 2,681.90/x
  3. Step 3: Cross multiply
    8,524.84x = 12,787.26 × 2,681.90
  4. Step 4: Simplify right side
    8,524.84x = 34,294,152.59
  5. Step 5: Solve for x
    x = 34,294,152.59/8,524.84
  6. Step 6: Final answer
    x = 4,022.85

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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.