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Finding the Fourth Proportional to 8,239.07, 12,358.49 and 1,999.13

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Solution

The fourth proportional to 8,239.07, 12,358.49 and 1,999.13 is: 2,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.07 : 12,358.49 = 1,999.13 : x
  2. Step 2: Convert to fraction form
    8,239.07/12,358.49 = 1,999.13/x
  3. Step 3: Cross multiply
    8,239.07x = 12,358.49 × 1,999.13
  4. Step 4: Simplify right side
    8,239.07x = 24,706,171.32
  5. Step 5: Solve for x
    x = 24,706,171.32/8,239.07
  6. Step 6: Final answer
    x = 2,998.66

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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.