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Finding the Fourth Proportional to 8,290.71, 12,437.89 and 3,908.21

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Solution

The fourth proportional to 8,290.71, 12,437.89 and 3,908.21 is: 5,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.71 : 12,437.89 = 3,908.21 : x
  2. Step 2: Convert to fraction form
    8,290.71/12,437.89 = 3,908.21/x
  3. Step 3: Cross multiply
    8,290.71x = 12,437.89 × 3,908.21
  4. Step 4: Simplify right side
    8,290.71x = 48,609,814.12
  5. Step 5: Solve for x
    x = 48,609,814.12/8,290.71
  6. Step 6: Final answer
    x = 5,863.17

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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.