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Finding the Fourth Proportional to 8,171.98, 12,248.24 and 5,693.38

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Solution

The fourth proportional to 8,171.98, 12,248.24 and 5,693.38 is: 8,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.98 : 12,248.24 = 5,693.38 : x
  2. Step 2: Convert to fraction form
    8,171.98/12,248.24 = 5,693.38/x
  3. Step 3: Cross multiply
    8,171.98x = 12,248.24 × 5,693.38
  4. Step 4: Simplify right side
    8,171.98x = 69,733,884.65
  5. Step 5: Solve for x
    x = 69,733,884.65/8,171.98
  6. Step 6: Final answer
    x = 8,533.29

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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.