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Finding the Fourth Proportional to 8,519.52, 12,769.52 and 3,581.76

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Solution

The fourth proportional to 8,519.52, 12,769.52 and 3,581.76 is: 5,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.52 : 12,769.52 = 3,581.76 : x
  2. Step 2: Convert to fraction form
    8,519.52/12,769.52 = 3,581.76/x
  3. Step 3: Cross multiply
    8,519.52x = 12,769.52 × 3,581.76
  4. Step 4: Simplify right side
    8,519.52x = 45,737,355.96
  5. Step 5: Solve for x
    x = 45,737,355.96/8,519.52
  6. Step 6: Final answer
    x = 5,368.54

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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.