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Finding the Fourth Proportional to 8,286.56, 12,437.63 and 4,340.65

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Solution

The fourth proportional to 8,286.56, 12,437.63 and 4,340.65 is: 6,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.56 : 12,437.63 = 4,340.65 : x
  2. Step 2: Convert to fraction form
    8,286.56/12,437.63 = 4,340.65/x
  3. Step 3: Cross multiply
    8,286.56x = 12,437.63 × 4,340.65
  4. Step 4: Simplify right side
    8,286.56x = 53,987,398.66
  5. Step 5: Solve for x
    x = 53,987,398.66/8,286.56
  6. Step 6: Final answer
    x = 6,515.06

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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.