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Finding the Fourth Proportional to 8,499.45, 12,734.78 and 5,205.66

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Solution

The fourth proportional to 8,499.45, 12,734.78 and 5,205.66 is: 7,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.45 : 12,734.78 = 5,205.66 : x
  2. Step 2: Convert to fraction form
    8,499.45/12,734.78 = 5,205.66/x
  3. Step 3: Cross multiply
    8,499.45x = 12,734.78 × 5,205.66
  4. Step 4: Simplify right side
    8,499.45x = 66,292,947.87
  5. Step 5: Solve for x
    x = 66,292,947.87/8,499.45
  6. Step 6: Final answer
    x = 7,799.68

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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.