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Finding the Fourth Proportional to 7,453.78, 10,287.49 and 4,311.80

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Solution

The fourth proportional to 7,453.78, 10,287.49 and 4,311.80 is: 5,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.78 : 10,287.49 = 4,311.80 : x
  2. Step 2: Convert to fraction form
    7,453.78/10,287.49 = 4,311.80/x
  3. Step 3: Cross multiply
    7,453.78x = 10,287.49 × 4,311.80
  4. Step 4: Simplify right side
    7,453.78x = 44,357,599.38
  5. Step 5: Solve for x
    x = 44,357,599.38/7,453.78
  6. Step 6: Final answer
    x = 5,951.02

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Why These Related Problems?

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