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Finding the Fourth Proportional to 7,282.49, 10,049.78 and 4,138.68

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Solution

The fourth proportional to 7,282.49, 10,049.78 and 4,138.68 is: 5,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.49 : 10,049.78 = 4,138.68 : x
  2. Step 2: Convert to fraction form
    7,282.49/10,049.78 = 4,138.68/x
  3. Step 3: Cross multiply
    7,282.49x = 10,049.78 × 4,138.68
  4. Step 4: Simplify right side
    7,282.49x = 41,592,823.49
  5. Step 5: Solve for x
    x = 41,592,823.49/7,282.49
  6. Step 6: Final answer
    x = 5,711.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.