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Finding the Fourth Proportional to 7,244.49, 10,868.64 and 2,314.23

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Solution

The fourth proportional to 7,244.49, 10,868.64 and 2,314.23 is: 3,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.49 : 10,868.64 = 2,314.23 : x
  2. Step 2: Convert to fraction form
    7,244.49/10,868.64 = 2,314.23/x
  3. Step 3: Cross multiply
    7,244.49x = 10,868.64 × 2,314.23
  4. Step 4: Simplify right side
    7,244.49x = 25,152,532.75
  5. Step 5: Solve for x
    x = 25,152,532.75/7,244.49
  6. Step 6: Final answer
    x = 3,471.95

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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.