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Finding the Fourth Proportional to 7,226.84, 10,842.34 and 3,531.20

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Solution

The fourth proportional to 7,226.84, 10,842.34 and 3,531.20 is: 5,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.84 : 10,842.34 = 3,531.20 : x
  2. Step 2: Convert to fraction form
    7,226.84/10,842.34 = 3,531.20/x
  3. Step 3: Cross multiply
    7,226.84x = 10,842.34 × 3,531.20
  4. Step 4: Simplify right side
    7,226.84x = 38,286,471.01
  5. Step 5: Solve for x
    x = 38,286,471.01/7,226.84
  6. Step 6: Final answer
    x = 5,297.82

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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.