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Finding the Fourth Proportional to 8,346.12, 12,496.92 and 6,891.72

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Solution

The fourth proportional to 8,346.12, 12,496.92 and 6,891.72 is: 10,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.12 : 12,496.92 = 6,891.72 : x
  2. Step 2: Convert to fraction form
    8,346.12/12,496.92 = 6,891.72/x
  3. Step 3: Cross multiply
    8,346.12x = 12,496.92 × 6,891.72
  4. Step 4: Simplify right side
    8,346.12x = 86,125,273.50
  5. Step 5: Solve for x
    x = 86,125,273.50/8,346.12
  6. Step 6: Final answer
    x = 10,319.20

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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.