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Finding the Fourth Proportional to 8,243.66, 12,365.31 and 2,003.71

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Solution

The fourth proportional to 8,243.66, 12,365.31 and 2,003.71 is: 3,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.66 : 12,365.31 = 2,003.71 : x
  2. Step 2: Convert to fraction form
    8,243.66/12,365.31 = 2,003.71/x
  3. Step 3: Cross multiply
    8,243.66x = 12,365.31 × 2,003.71
  4. Step 4: Simplify right side
    8,243.66x = 24,776,471.90
  5. Step 5: Solve for x
    x = 24,776,471.90/8,243.66
  6. Step 6: Final answer
    x = 3,005.52

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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.