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Finding the Fourth Proportional to 7,546.60, 11,304.88 and 5,895.44

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Solution

The fourth proportional to 7,546.60, 11,304.88 and 5,895.44 is: 8,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.60 : 11,304.88 = 5,895.44 : x
  2. Step 2: Convert to fraction form
    7,546.60/11,304.88 = 5,895.44/x
  3. Step 3: Cross multiply
    7,546.60x = 11,304.88 × 5,895.44
  4. Step 4: Simplify right side
    7,546.60x = 66,647,241.75
  5. Step 5: Solve for x
    x = 66,647,241.75/7,546.60
  6. Step 6: Final answer
    x = 8,831.43

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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.