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Finding the Fourth Proportional to 8,243.32, 12,364.86 and 2,003.38

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Solution

The fourth proportional to 8,243.32, 12,364.86 and 2,003.38 is: 3,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.32 : 12,364.86 = 2,003.38 : x
  2. Step 2: Convert to fraction form
    8,243.32/12,364.86 = 2,003.38/x
  3. Step 3: Cross multiply
    8,243.32x = 12,364.86 × 2,003.38
  4. Step 4: Simplify right side
    8,243.32x = 24,771,513.23
  5. Step 5: Solve for x
    x = 24,771,513.23/8,243.32
  6. Step 6: Final answer
    x = 3,005.04

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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.