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Finding the Fourth Proportional to 8,165.22, 12,245.78 and 3,482.92

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Solution

The fourth proportional to 8,165.22, 12,245.78 and 3,482.92 is: 5,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.22 : 12,245.78 = 3,482.92 : x
  2. Step 2: Convert to fraction form
    8,165.22/12,245.78 = 3,482.92/x
  3. Step 3: Cross multiply
    8,165.22x = 12,245.78 × 3,482.92
  4. Step 4: Simplify right side
    8,165.22x = 42,651,072.08
  5. Step 5: Solve for x
    x = 42,651,072.08/8,165.22
  6. Step 6: Final answer
    x = 5,223.51

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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.