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Finding the Fourth Proportional to 11,555.28, 15,945.92 and 6,519.42

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Solution

The fourth proportional to 11,555.28, 15,945.92 and 6,519.42 is: 8,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.28 : 15,945.92 = 6,519.42 : x
  2. Step 2: Convert to fraction form
    11,555.28/15,945.92 = 6,519.42/x
  3. Step 3: Cross multiply
    11,555.28x = 15,945.92 × 6,519.42
  4. Step 4: Simplify right side
    11,555.28x = 103,958,117.17
  5. Step 5: Solve for x
    x = 103,958,117.17/11,555.28
  6. Step 6: Final answer
    x = 8,996.59

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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.