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Finding the Fourth Proportional to 10,884.57, 15,022.19 and 6,169.16

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Solution

The fourth proportional to 10,884.57, 15,022.19 and 6,169.16 is: 8,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.57 : 15,022.19 = 6,169.16 : x
  2. Step 2: Convert to fraction form
    10,884.57/15,022.19 = 6,169.16/x
  3. Step 3: Cross multiply
    10,884.57x = 15,022.19 × 6,169.16
  4. Step 4: Simplify right side
    10,884.57x = 92,674,218.55
  5. Step 5: Solve for x
    x = 92,674,218.55/10,884.57
  6. Step 6: Final answer
    x = 8,514.27

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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.