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Finding the Fourth Proportional to 8,048.57, 12,074.67 and 2,854.44

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Solution

The fourth proportional to 8,048.57, 12,074.67 and 2,854.44 is: 4,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.57 : 12,074.67 = 2,854.44 : x
  2. Step 2: Convert to fraction form
    8,048.57/12,074.67 = 2,854.44/x
  3. Step 3: Cross multiply
    8,048.57x = 12,074.67 × 2,854.44
  4. Step 4: Simplify right side
    8,048.57x = 34,466,421.03
  5. Step 5: Solve for x
    x = 34,466,421.03/8,048.57
  6. Step 6: Final answer
    x = 4,282.31

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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.