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Finding the Fourth Proportional to 7,224.85, 10,838.49 and 2,294.11

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Solution

The fourth proportional to 7,224.85, 10,838.49 and 2,294.11 is: 3,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.85 : 10,838.49 = 2,294.11 : x
  2. Step 2: Convert to fraction form
    7,224.85/10,838.49 = 2,294.11/x
  3. Step 3: Cross multiply
    7,224.85x = 10,838.49 × 2,294.11
  4. Step 4: Simplify right side
    7,224.85x = 24,864,688.29
  5. Step 5: Solve for x
    x = 24,864,688.29/7,224.85
  6. Step 6: Final answer
    x = 3,441.55

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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.