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Finding the Fourth Proportional to 8,427.68, 12,624.59 and 4,198.18

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Solution

The fourth proportional to 8,427.68, 12,624.59 and 4,198.18 is: 6,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.68 : 12,624.59 = 4,198.18 : x
  2. Step 2: Convert to fraction form
    8,427.68/12,624.59 = 4,198.18/x
  3. Step 3: Cross multiply
    8,427.68x = 12,624.59 × 4,198.18
  4. Step 4: Simplify right side
    8,427.68x = 53,000,301.25
  5. Step 5: Solve for x
    x = 53,000,301.25/8,427.68
  6. Step 6: Final answer
    x = 6,288.84

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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.