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Finding the Fourth Proportional to 8,438.16, 12,657.84 and 3,244.02

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Solution

The fourth proportional to 8,438.16, 12,657.84 and 3,244.02 is: 4,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.16 : 12,657.84 = 3,244.02 : x
  2. Step 2: Convert to fraction form
    8,438.16/12,657.84 = 3,244.02/x
  3. Step 3: Cross multiply
    8,438.16x = 12,657.84 × 3,244.02
  4. Step 4: Simplify right side
    8,438.16x = 41,062,286.12
  5. Step 5: Solve for x
    x = 41,062,286.12/8,438.16
  6. Step 6: Final answer
    x = 4,866.26

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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.