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Finding the Fourth Proportional to 8,519.52, 12,774.72 and 3,900

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Solution

The fourth proportional to 8,519.52, 12,774.72 and 3,900 is: 5,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.52 : 12,774.72 = 3,900 : x
  2. Step 2: Convert to fraction form
    8,519.52/12,774.72 = 3,900/x
  3. Step 3: Cross multiply
    8,519.52x = 12,774.72 × 3,900
  4. Step 4: Simplify right side
    8,519.52x = 49,821,408
  5. Step 5: Solve for x
    x = 49,821,408/8,519.52
  6. Step 6: Final answer
    x = 5,847.91

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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.