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Finding the Fourth Proportional to 11,518.74, 15,891.80 and 7,542.05

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Solution

The fourth proportional to 11,518.74, 15,891.80 and 7,542.05 is: 10,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.74 : 15,891.80 = 7,542.05 : x
  2. Step 2: Convert to fraction form
    11,518.74/15,891.80 = 7,542.05/x
  3. Step 3: Cross multiply
    11,518.74x = 15,891.80 × 7,542.05
  4. Step 4: Simplify right side
    11,518.74x = 119,856,633.02
  5. Step 5: Solve for x
    x = 119,856,633.02/11,518.74
  6. Step 6: Final answer
    x = 10,405.36

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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.