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Finding the Fourth Proportional to 8,546.32, 12,815.36 and 2,998.90

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Solution

The fourth proportional to 8,546.32, 12,815.36 and 2,998.90 is: 4,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.32 : 12,815.36 = 2,998.90 : x
  2. Step 2: Convert to fraction form
    8,546.32/12,815.36 = 2,998.90/x
  3. Step 3: Cross multiply
    8,546.32x = 12,815.36 × 2,998.90
  4. Step 4: Simplify right side
    8,546.32x = 38,431,983.10
  5. Step 5: Solve for x
    x = 38,431,983.10/8,546.32
  6. Step 6: Final answer
    x = 4,496.90

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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.