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Finding the Fourth Proportional to 8,545.76, 12,814.17 and 3,861.74

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Solution

The fourth proportional to 8,545.76, 12,814.17 and 3,861.74 is: 5,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.76 : 12,814.17 = 3,861.74 : x
  2. Step 2: Convert to fraction form
    8,545.76/12,814.17 = 3,861.74/x
  3. Step 3: Cross multiply
    8,545.76x = 12,814.17 × 3,861.74
  4. Step 4: Simplify right side
    8,545.76x = 49,484,992.86
  5. Step 5: Solve for x
    x = 49,484,992.86/8,545.76
  6. Step 6: Final answer
    x = 5,790.59

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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.