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Finding the Fourth Proportional to 7,911.42, 11,862.24 and 3,227.60

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Solution

The fourth proportional to 7,911.42, 11,862.24 and 3,227.60 is: 4,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.42 : 11,862.24 = 3,227.60 : x
  2. Step 2: Convert to fraction form
    7,911.42/11,862.24 = 3,227.60/x
  3. Step 3: Cross multiply
    7,911.42x = 11,862.24 × 3,227.60
  4. Step 4: Simplify right side
    7,911.42x = 38,286,565.82
  5. Step 5: Solve for x
    x = 38,286,565.82/7,911.42
  6. Step 6: Final answer
    x = 4,839.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.