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Finding the Fourth Proportional to 7,165.38, 9,891.36 and 4,180.08

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Solution

The fourth proportional to 7,165.38, 9,891.36 and 4,180.08 is: 5,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.38 : 9,891.36 = 4,180.08 : x
  2. Step 2: Convert to fraction form
    7,165.38/9,891.36 = 4,180.08/x
  3. Step 3: Cross multiply
    7,165.38x = 9,891.36 × 4,180.08
  4. Step 4: Simplify right side
    7,165.38x = 41,346,676.11
  5. Step 5: Solve for x
    x = 41,346,676.11/7,165.38
  6. Step 6: Final answer
    x = 5,770.34

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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.