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Finding the Fourth Proportional to 11,131.16, 16,691.16 and 6,204.20

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Solution

The fourth proportional to 11,131.16, 16,691.16 and 6,204.20 is: 9,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.16 : 16,691.16 = 6,204.20 : x
  2. Step 2: Convert to fraction form
    11,131.16/16,691.16 = 6,204.20/x
  3. Step 3: Cross multiply
    11,131.16x = 16,691.16 × 6,204.20
  4. Step 4: Simplify right side
    11,131.16x = 103,555,294.87
  5. Step 5: Solve for x
    x = 103,555,294.87/11,131.16
  6. Step 6: Final answer
    x = 9,303.19

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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.