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Finding the Fourth Proportional to 7,247.97, 10,007.01 and 4,560.39

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Solution

The fourth proportional to 7,247.97, 10,007.01 and 4,560.39 is: 6,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.97 : 10,007.01 = 4,560.39 : x
  2. Step 2: Convert to fraction form
    7,247.97/10,007.01 = 4,560.39/x
  3. Step 3: Cross multiply
    7,247.97x = 10,007.01 × 4,560.39
  4. Step 4: Simplify right side
    7,247.97x = 45,635,868.33
  5. Step 5: Solve for x
    x = 45,635,868.33/7,247.97
  6. Step 6: Final answer
    x = 6,296.37

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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.