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Finding the Fourth Proportional to 11,311.92, 15,618.54 and 7,543.97

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Solution

The fourth proportional to 11,311.92, 15,618.54 and 7,543.97 is: 10,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.92 : 15,618.54 = 7,543.97 : x
  2. Step 2: Convert to fraction form
    11,311.92/15,618.54 = 7,543.97/x
  3. Step 3: Cross multiply
    11,311.92x = 15,618.54 × 7,543.97
  4. Step 4: Simplify right side
    11,311.92x = 117,825,763.54
  5. Step 5: Solve for x
    x = 117,825,763.54/11,311.92
  6. Step 6: Final answer
    x = 10,416.07

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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.