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Finding the Fourth Proportional to 8,151.50, 12,189.87 and 6,072.92

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Solution

The fourth proportional to 8,151.50, 12,189.87 and 6,072.92 is: 9,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.50 : 12,189.87 = 6,072.92 : x
  2. Step 2: Convert to fraction form
    8,151.50/12,189.87 = 6,072.92/x
  3. Step 3: Cross multiply
    8,151.50x = 12,189.87 × 6,072.92
  4. Step 4: Simplify right side
    8,151.50x = 74,028,105.32
  5. Step 5: Solve for x
    x = 74,028,105.32/8,151.50
  6. Step 6: Final answer
    x = 9,081.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.