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Finding the Fourth Proportional to 8,513.98, 12,775.97 and 3,834.20

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Solution

The fourth proportional to 8,513.98, 12,775.97 and 3,834.20 is: 5,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.98 : 12,775.97 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    8,513.98/12,775.97 = 3,834.20/x
  3. Step 3: Cross multiply
    8,513.98x = 12,775.97 × 3,834.20
  4. Step 4: Simplify right side
    8,513.98x = 48,985,624.17
  5. Step 5: Solve for x
    x = 48,985,624.17/8,513.98
  6. Step 6: Final answer
    x = 5,753.55

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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.