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Finding the Fourth Proportional to 8,072.95, 12,109.40 and 2,149.83

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Solution

The fourth proportional to 8,072.95, 12,109.40 and 2,149.83 is: 3,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.95 : 12,109.40 = 2,149.83 : x
  2. Step 2: Convert to fraction form
    8,072.95/12,109.40 = 2,149.83/x
  3. Step 3: Cross multiply
    8,072.95x = 12,109.40 × 2,149.83
  4. Step 4: Simplify right side
    8,072.95x = 26,033,140.65
  5. Step 5: Solve for x
    x = 26,033,140.65/8,072.95
  6. Step 6: Final answer
    x = 3,224.74

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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.