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Finding the Fourth Proportional to 7,221.67, 10,832.19 and 2,291.20

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Solution

The fourth proportional to 7,221.67, 10,832.19 and 2,291.20 is: 3,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.67 : 10,832.19 = 2,291.20 : x
  2. Step 2: Convert to fraction form
    7,221.67/10,832.19 = 2,291.20/x
  3. Step 3: Cross multiply
    7,221.67x = 10,832.19 × 2,291.20
  4. Step 4: Simplify right side
    7,221.67x = 24,818,713.73
  5. Step 5: Solve for x
    x = 24,818,713.73/7,221.67
  6. Step 6: Final answer
    x = 3,436.70

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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.