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Finding the Fourth Proportional to 7,427.97, 10,250.38 and 4,070.71

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Solution

The fourth proportional to 7,427.97, 10,250.38 and 4,070.71 is: 5,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.97 : 10,250.38 = 4,070.71 : x
  2. Step 2: Convert to fraction form
    7,427.97/10,250.38 = 4,070.71/x
  3. Step 3: Cross multiply
    7,427.97x = 10,250.38 × 4,070.71
  4. Step 4: Simplify right side
    7,427.97x = 41,726,324.37
  5. Step 5: Solve for x
    x = 41,726,324.37/7,427.97
  6. Step 6: Final answer
    x = 5,617.46

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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.