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Finding the Fourth Proportional to 8,052.15, 12,078.26 and 2,854.38

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Solution

The fourth proportional to 8,052.15, 12,078.26 and 2,854.38 is: 4,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.15 : 12,078.26 = 2,854.38 : x
  2. Step 2: Convert to fraction form
    8,052.15/12,078.26 = 2,854.38/x
  3. Step 3: Cross multiply
    8,052.15x = 12,078.26 × 2,854.38
  4. Step 4: Simplify right side
    8,052.15x = 34,475,943.78
  5. Step 5: Solve for x
    x = 34,475,943.78/8,052.15
  6. Step 6: Final answer
    x = 4,281.58

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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.