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Finding the Fourth Proportional to 11,539.68, 15,902.64 and 8,221.92

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Solution

The fourth proportional to 11,539.68, 15,902.64 and 8,221.92 is: 11,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.68 : 15,902.64 = 8,221.92 : x
  2. Step 2: Convert to fraction form
    11,539.68/15,902.64 = 8,221.92/x
  3. Step 3: Cross multiply
    11,539.68x = 15,902.64 × 8,221.92
  4. Step 4: Simplify right side
    11,539.68x = 130,750,233.87
  5. Step 5: Solve for x
    x = 130,750,233.87/11,539.68
  6. Step 6: Final answer
    x = 11,330.49

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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.