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Finding the Fourth Proportional to 8,221.39, 12,322.83 and 4,052.57

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Solution

The fourth proportional to 8,221.39, 12,322.83 and 4,052.57 is: 6,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.39 : 12,322.83 = 4,052.57 : x
  2. Step 2: Convert to fraction form
    8,221.39/12,322.83 = 4,052.57/x
  3. Step 3: Cross multiply
    8,221.39x = 12,322.83 × 4,052.57
  4. Step 4: Simplify right side
    8,221.39x = 49,939,131.17
  5. Step 5: Solve for x
    x = 49,939,131.17/8,221.39
  6. Step 6: Final answer
    x = 6,074.29

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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.