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Finding the Fourth Proportional to 8,496.76, 12,744.24 and 5,204.11

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Solution

The fourth proportional to 8,496.76, 12,744.24 and 5,204.11 is: 7,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.76 : 12,744.24 = 5,204.11 : x
  2. Step 2: Convert to fraction form
    8,496.76/12,744.24 = 5,204.11/x
  3. Step 3: Cross multiply
    8,496.76x = 12,744.24 × 5,204.11
  4. Step 4: Simplify right side
    8,496.76x = 66,322,426.83
  5. Step 5: Solve for x
    x = 66,322,426.83/8,496.76
  6. Step 6: Final answer
    x = 7,805.61

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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.