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Finding the Fourth Proportional to 11,092.82, 15,308.14 and 6,057.14

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Solution

The fourth proportional to 11,092.82, 15,308.14 and 6,057.14 is: 8,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.82 : 15,308.14 = 6,057.14 : x
  2. Step 2: Convert to fraction form
    11,092.82/15,308.14 = 6,057.14/x
  3. Step 3: Cross multiply
    11,092.82x = 15,308.14 × 6,057.14
  4. Step 4: Simplify right side
    11,092.82x = 92,723,547.12
  5. Step 5: Solve for x
    x = 92,723,547.12/11,092.82
  6. Step 6: Final answer
    x = 8,358.88

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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.