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Finding the Fourth Proportional to 8,309.81, 12,464.73 and 8,100.68

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Solution

The fourth proportional to 8,309.81, 12,464.73 and 8,100.68 is: 12,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.81 : 12,464.73 = 8,100.68 : x
  2. Step 2: Convert to fraction form
    8,309.81/12,464.73 = 8,100.68/x
  3. Step 3: Cross multiply
    8,309.81x = 12,464.73 × 8,100.68
  4. Step 4: Simplify right side
    8,309.81x = 100,972,726.69
  5. Step 5: Solve for x
    x = 100,972,726.69/8,309.81
  6. Step 6: Final answer
    x = 12,151.02

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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.