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Finding the Fourth Proportional to 7,202.83, 9,939.48 and 4,016.02

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Solution

The fourth proportional to 7,202.83, 9,939.48 and 4,016.02 is: 5,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.83 : 9,939.48 = 4,016.02 : x
  2. Step 2: Convert to fraction form
    7,202.83/9,939.48 = 4,016.02/x
  3. Step 3: Cross multiply
    7,202.83x = 9,939.48 × 4,016.02
  4. Step 4: Simplify right side
    7,202.83x = 39,917,150.47
  5. Step 5: Solve for x
    x = 39,917,150.47/7,202.83
  6. Step 6: Final answer
    x = 5,541.87

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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.