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Finding the Fourth Proportional to 8,176.38, 12,272.24 and 4,019.39

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Solution

The fourth proportional to 8,176.38, 12,272.24 and 4,019.39 is: 6,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.38 : 12,272.24 = 4,019.39 : x
  2. Step 2: Convert to fraction form
    8,176.38/12,272.24 = 4,019.39/x
  3. Step 3: Cross multiply
    8,176.38x = 12,272.24 × 4,019.39
  4. Step 4: Simplify right side
    8,176.38x = 49,326,837.28
  5. Step 5: Solve for x
    x = 49,326,837.28/8,176.38
  6. Step 6: Final answer
    x = 6,032.85

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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.