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Finding the Fourth Proportional to 8,304.88, 12,434.64 and 8,084.56

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Solution

The fourth proportional to 8,304.88, 12,434.64 and 8,084.56 is: 12,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.88 : 12,434.64 = 8,084.56 : x
  2. Step 2: Convert to fraction form
    8,304.88/12,434.64 = 8,084.56/x
  3. Step 3: Cross multiply
    8,304.88x = 12,434.64 × 8,084.56
  4. Step 4: Simplify right side
    8,304.88x = 100,528,593.16
  5. Step 5: Solve for x
    x = 100,528,593.16/8,304.88
  6. Step 6: Final answer
    x = 12,104.76

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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.