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Finding the Fourth Proportional to 7,227.88, 10,842.12 and 2,297.40

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Solution

The fourth proportional to 7,227.88, 10,842.12 and 2,297.40 is: 3,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.88 : 10,842.12 = 2,297.40 : x
  2. Step 2: Convert to fraction form
    7,227.88/10,842.12 = 2,297.40/x
  3. Step 3: Cross multiply
    7,227.88x = 10,842.12 × 2,297.40
  4. Step 4: Simplify right side
    7,227.88x = 24,908,686.49
  5. Step 5: Solve for x
    x = 24,908,686.49/7,227.88
  6. Step 6: Final answer
    x = 3,446.20

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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.