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Finding the Fourth Proportional to 8,175.78, 12,265.02 and 3,245.46

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Solution

The fourth proportional to 8,175.78, 12,265.02 and 3,245.46 is: 4,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.78 : 12,265.02 = 3,245.46 : x
  2. Step 2: Convert to fraction form
    8,175.78/12,265.02 = 3,245.46/x
  3. Step 3: Cross multiply
    8,175.78x = 12,265.02 × 3,245.46
  4. Step 4: Simplify right side
    8,175.78x = 39,805,631.81
  5. Step 5: Solve for x
    x = 39,805,631.81/8,175.78
  6. Step 6: Final answer
    x = 4,868.73

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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.