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Finding the Fourth Proportional to 10,884.20, 15,020.16 and 6,169.40

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Solution

The fourth proportional to 10,884.20, 15,020.16 and 6,169.40 is: 8,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.20 : 15,020.16 = 6,169.40 : x
  2. Step 2: Convert to fraction form
    10,884.20/15,020.16 = 6,169.40/x
  3. Step 3: Cross multiply
    10,884.20x = 15,020.16 × 6,169.40
  4. Step 4: Simplify right side
    10,884.20x = 92,665,375.10
  5. Step 5: Solve for x
    x = 92,665,375.10/10,884.20
  6. Step 6: Final answer
    x = 8,513.75

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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.