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Finding the Fourth Proportional to 8,115.22, 11,198.19 and 4,711.71

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Solution

The fourth proportional to 8,115.22, 11,198.19 and 4,711.71 is: 6,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.22 : 11,198.19 = 4,711.71 : x
  2. Step 2: Convert to fraction form
    8,115.22/11,198.19 = 4,711.71/x
  3. Step 3: Cross multiply
    8,115.22x = 11,198.19 × 4,711.71
  4. Step 4: Simplify right side
    8,115.22x = 52,762,623.80
  5. Step 5: Solve for x
    x = 52,762,623.80/8,115.22
  6. Step 6: Final answer
    x = 6,501.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.