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Finding the Fourth Proportional to 11,478.80, 15,842.40 and 6,375.49

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Solution

The fourth proportional to 11,478.80, 15,842.40 and 6,375.49 is: 8,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.80 : 15,842.40 = 6,375.49 : x
  2. Step 2: Convert to fraction form
    11,478.80/15,842.40 = 6,375.49/x
  3. Step 3: Cross multiply
    11,478.80x = 15,842.40 × 6,375.49
  4. Step 4: Simplify right side
    11,478.80x = 101,003,023.17
  5. Step 5: Solve for x
    x = 101,003,023.17/11,478.80
  6. Step 6: Final answer
    x = 8,799.09

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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.