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Finding the Fourth Proportional to 11,474.68, 15,842.60 and 7,948.72

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Solution

The fourth proportional to 11,474.68, 15,842.60 and 7,948.72 is: 10,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.68 : 15,842.60 = 7,948.72 : x
  2. Step 2: Convert to fraction form
    11,474.68/15,842.60 = 7,948.72/x
  3. Step 3: Cross multiply
    11,474.68x = 15,842.60 × 7,948.72
  4. Step 4: Simplify right side
    11,474.68x = 125,928,391.47
  5. Step 5: Solve for x
    x = 125,928,391.47/11,474.68
  6. Step 6: Final answer
    x = 10,974.46

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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.