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Finding the Fourth Proportional to 8,115.85, 12,115.06 and 7,131.70

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Solution

The fourth proportional to 8,115.85, 12,115.06 and 7,131.70 is: 10,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.85 : 12,115.06 = 7,131.70 : x
  2. Step 2: Convert to fraction form
    8,115.85/12,115.06 = 7,131.70/x
  3. Step 3: Cross multiply
    8,115.85x = 12,115.06 × 7,131.70
  4. Step 4: Simplify right side
    8,115.85x = 86,400,973.40
  5. Step 5: Solve for x
    x = 86,400,973.40/8,115.85
  6. Step 6: Final answer
    x = 10,645.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.