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Finding the Fourth Proportional to 8,097.44, 11,177.60 and 6,329.61

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Solution

The fourth proportional to 8,097.44, 11,177.60 and 6,329.61 is: 8,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.44 : 11,177.60 = 6,329.61 : x
  2. Step 2: Convert to fraction form
    8,097.44/11,177.60 = 6,329.61/x
  3. Step 3: Cross multiply
    8,097.44x = 11,177.60 × 6,329.61
  4. Step 4: Simplify right side
    8,097.44x = 70,749,817.09
  5. Step 5: Solve for x
    x = 70,749,817.09/8,097.44
  6. Step 6: Final answer
    x = 8,737.31

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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.