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Finding the Fourth Proportional to 8,279.10, 12,424.86 and 5,163.66

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Solution

The fourth proportional to 8,279.10, 12,424.86 and 5,163.66 is: 7,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.10 : 12,424.86 = 5,163.66 : x
  2. Step 2: Convert to fraction form
    8,279.10/12,424.86 = 5,163.66/x
  3. Step 3: Cross multiply
    8,279.10x = 12,424.86 × 5,163.66
  4. Step 4: Simplify right side
    8,279.10x = 64,157,752.59
  5. Step 5: Solve for x
    x = 64,157,752.59/8,279.10
  6. Step 6: Final answer
    x = 7,749.36

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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.