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Finding the Fourth Proportional to 8,839.32, 12,185.42 and 6,178.48

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Solution

The fourth proportional to 8,839.32, 12,185.42 and 6,178.48 is: 8,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.32 : 12,185.42 = 6,178.48 : x
  2. Step 2: Convert to fraction form
    8,839.32/12,185.42 = 6,178.48/x
  3. Step 3: Cross multiply
    8,839.32x = 12,185.42 × 6,178.48
  4. Step 4: Simplify right side
    8,839.32x = 75,287,373.76
  5. Step 5: Solve for x
    x = 75,287,373.76/8,839.32
  6. Step 6: Final answer
    x = 8,517.33

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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.