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Finding the Fourth Proportional to 11,394.12, 15,724.29 and 6,613.70

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Solution

The fourth proportional to 11,394.12, 15,724.29 and 6,613.70 is: 9,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.12 : 15,724.29 = 6,613.70 : x
  2. Step 2: Convert to fraction form
    11,394.12/15,724.29 = 6,613.70/x
  3. Step 3: Cross multiply
    11,394.12x = 15,724.29 × 6,613.70
  4. Step 4: Simplify right side
    11,394.12x = 103,995,658.15
  5. Step 5: Solve for x
    x = 103,995,658.15/11,394.12
  6. Step 6: Final answer
    x = 9,127.13

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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.