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Finding the Fourth Proportional to 8,363.49, 11,538.35 and 5,006.44

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Solution

The fourth proportional to 8,363.49, 11,538.35 and 5,006.44 is: 6,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.49 : 11,538.35 = 5,006.44 : x
  2. Step 2: Convert to fraction form
    8,363.49/11,538.35 = 5,006.44/x
  3. Step 3: Cross multiply
    8,363.49x = 11,538.35 × 5,006.44
  4. Step 4: Simplify right side
    8,363.49x = 57,766,065.14
  5. Step 5: Solve for x
    x = 57,766,065.14/8,363.49
  6. Step 6: Final answer
    x = 6,906.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.