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Finding the Fourth Proportional to 7,201.12, 9,937.56 and 4,408.24

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Solution

The fourth proportional to 7,201.12, 9,937.56 and 4,408.24 is: 6,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.12 : 9,937.56 = 4,408.24 : x
  2. Step 2: Convert to fraction form
    7,201.12/9,937.56 = 4,408.24/x
  3. Step 3: Cross multiply
    7,201.12x = 9,937.56 × 4,408.24
  4. Step 4: Simplify right side
    7,201.12x = 43,807,149.49
  5. Step 5: Solve for x
    x = 43,807,149.49/7,201.12
  6. Step 6: Final answer
    x = 6,083.38

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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.