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Finding the Fourth Proportional to 11,517.76, 15,902.16 and 8,860.48

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Solution

The fourth proportional to 11,517.76, 15,902.16 and 8,860.48 is: 12,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.76 : 15,902.16 = 8,860.48 : x
  2. Step 2: Convert to fraction form
    11,517.76/15,902.16 = 8,860.48/x
  3. Step 3: Cross multiply
    11,517.76x = 15,902.16 × 8,860.48
  4. Step 4: Simplify right side
    11,517.76x = 140,900,770.64
  5. Step 5: Solve for x
    x = 140,900,770.64/11,517.76
  6. Step 6: Final answer
    x = 12,233.35

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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.