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Finding the Fourth Proportional to 8,197.71, 11,314.04 and 5,012.83

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Solution

The fourth proportional to 8,197.71, 11,314.04 and 5,012.83 is: 6,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.71 : 11,314.04 = 5,012.83 : x
  2. Step 2: Convert to fraction form
    8,197.71/11,314.04 = 5,012.83/x
  3. Step 3: Cross multiply
    8,197.71x = 11,314.04 × 5,012.83
  4. Step 4: Simplify right side
    8,197.71x = 56,715,359.13
  5. Step 5: Solve for x
    x = 56,715,359.13/8,197.71
  6. Step 6: Final answer
    x = 6,918.44

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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.