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Finding the Fourth Proportional to 7,189.83, 9,921.69 and 4,003.29

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Solution

The fourth proportional to 7,189.83, 9,921.69 and 4,003.29 is: 5,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.83 : 9,921.69 = 4,003.29 : x
  2. Step 2: Convert to fraction form
    7,189.83/9,921.69 = 4,003.29/x
  3. Step 3: Cross multiply
    7,189.83x = 9,921.69 × 4,003.29
  4. Step 4: Simplify right side
    7,189.83x = 39,719,402.36
  5. Step 5: Solve for x
    x = 39,719,402.36/7,189.83
  6. Step 6: Final answer
    x = 5,524.39

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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.