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Finding the Fourth Proportional to 8,437.65, 12,655.37 and 2,198.12

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Solution

The fourth proportional to 8,437.65, 12,655.37 and 2,198.12 is: 3,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.65 : 12,655.37 = 2,198.12 : x
  2. Step 2: Convert to fraction form
    8,437.65/12,655.37 = 2,198.12/x
  3. Step 3: Cross multiply
    8,437.65x = 12,655.37 × 2,198.12
  4. Step 4: Simplify right side
    8,437.65x = 27,817,947.64
  5. Step 5: Solve for x
    x = 27,817,947.64/8,437.65
  6. Step 6: Final answer
    x = 3,296.88

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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.