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Finding the Fourth Proportional to 7,180.74, 9,909.43 and 3,993.97

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Solution

The fourth proportional to 7,180.74, 9,909.43 and 3,993.97 is: 5,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.74 : 9,909.43 = 3,993.97 : x
  2. Step 2: Convert to fraction form
    7,180.74/9,909.43 = 3,993.97/x
  3. Step 3: Cross multiply
    7,180.74x = 9,909.43 × 3,993.97
  4. Step 4: Simplify right side
    7,180.74x = 39,577,966.14
  5. Step 5: Solve for x
    x = 39,577,966.14/7,180.74
  6. Step 6: Final answer
    x = 5,511.68

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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.