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Finding the Fourth Proportional to 11,057.52, 15,258.96 and 6,342.24

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Solution

The fourth proportional to 11,057.52, 15,258.96 and 6,342.24 is: 8,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.52 : 15,258.96 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    11,057.52/15,258.96 = 6,342.24/x
  3. Step 3: Cross multiply
    11,057.52x = 15,258.96 × 6,342.24
  4. Step 4: Simplify right side
    11,057.52x = 96,775,986.47
  5. Step 5: Solve for x
    x = 96,775,986.47/11,057.52
  6. Step 6: Final answer
    x = 8,752.05

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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.