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Finding the Fourth Proportional to 8,175.38, 12,195.19 and 7,902.05

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Solution

The fourth proportional to 8,175.38, 12,195.19 and 7,902.05 is: 11,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.38 : 12,195.19 = 7,902.05 : x
  2. Step 2: Convert to fraction form
    8,175.38/12,195.19 = 7,902.05/x
  3. Step 3: Cross multiply
    8,175.38x = 12,195.19 × 7,902.05
  4. Step 4: Simplify right side
    8,175.38x = 96,366,920.41
  5. Step 5: Solve for x
    x = 96,366,920.41/8,175.38
  6. Step 6: Final answer
    x = 11,787.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.