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Finding the Fourth Proportional to 7,220.68, 10,832.34 and 2,291.56

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Solution

The fourth proportional to 7,220.68, 10,832.34 and 2,291.56 is: 3,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.68 : 10,832.34 = 2,291.56 : x
  2. Step 2: Convert to fraction form
    7,220.68/10,832.34 = 2,291.56/x
  3. Step 3: Cross multiply
    7,220.68x = 10,832.34 × 2,291.56
  4. Step 4: Simplify right side
    7,220.68x = 24,822,957.05
  5. Step 5: Solve for x
    x = 24,822,957.05/7,220.68
  6. Step 6: Final answer
    x = 3,437.76

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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.