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Finding the Fourth Proportional to 10,062.24, 13,899.65 and 8,171.70

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Solution

The fourth proportional to 10,062.24, 13,899.65 and 8,171.70 is: 11,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.24 : 13,899.65 = 8,171.70 : x
  2. Step 2: Convert to fraction form
    10,062.24/13,899.65 = 8,171.70/x
  3. Step 3: Cross multiply
    10,062.24x = 13,899.65 × 8,171.70
  4. Step 4: Simplify right side
    10,062.24x = 113,583,729.05
  5. Step 5: Solve for x
    x = 113,583,729.05/10,062.24
  6. Step 6: Final answer
    x = 11,288.12

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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.