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Finding the Fourth Proportional to 8,048.58, 12,074.49 and 2,854.86

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Solution

The fourth proportional to 8,048.58, 12,074.49 and 2,854.86 is: 4,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.58 : 12,074.49 = 2,854.86 : x
  2. Step 2: Convert to fraction form
    8,048.58/12,074.49 = 2,854.86/x
  3. Step 3: Cross multiply
    8,048.58x = 12,074.49 × 2,854.86
  4. Step 4: Simplify right side
    8,048.58x = 34,470,978.52
  5. Step 5: Solve for x
    x = 34,470,978.52/8,048.58
  6. Step 6: Final answer
    x = 4,282.86

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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.