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Finding the Fourth Proportional to 7,427.47, 10,249.92 and 4,070.26

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Solution

The fourth proportional to 7,427.47, 10,249.92 and 4,070.26 is: 5,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.47 : 10,249.92 = 4,070.26 : x
  2. Step 2: Convert to fraction form
    7,427.47/10,249.92 = 4,070.26/x
  3. Step 3: Cross multiply
    7,427.47x = 10,249.92 × 4,070.26
  4. Step 4: Simplify right side
    7,427.47x = 41,719,839.38
  5. Step 5: Solve for x
    x = 41,719,839.38/7,427.47
  6. Step 6: Final answer
    x = 5,616.97

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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.