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Finding the Fourth Proportional to 8,231.73, 11,335.85 and 7,154.53

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Solution

The fourth proportional to 8,231.73, 11,335.85 and 7,154.53 is: 9,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.73 : 11,335.85 = 7,154.53 : x
  2. Step 2: Convert to fraction form
    8,231.73/11,335.85 = 7,154.53/x
  3. Step 3: Cross multiply
    8,231.73x = 11,335.85 × 7,154.53
  4. Step 4: Simplify right side
    8,231.73x = 81,102,641.62
  5. Step 5: Solve for x
    x = 81,102,641.62/8,231.73
  6. Step 6: Final answer
    x = 9,852.45

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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.