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Finding the Fourth Proportional to 11,543.08, 15,920.92 and 7,959.20

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Solution

The fourth proportional to 11,543.08, 15,920.92 and 7,959.20 is: 10,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.08 : 15,920.92 = 7,959.20 : x
  2. Step 2: Convert to fraction form
    11,543.08/15,920.92 = 7,959.20/x
  3. Step 3: Cross multiply
    11,543.08x = 15,920.92 × 7,959.20
  4. Step 4: Simplify right side
    11,543.08x = 126,717,786.46
  5. Step 5: Solve for x
    x = 126,717,786.46/11,543.08
  6. Step 6: Final answer
    x = 10,977.81

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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.