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Finding the Fourth Proportional to 7,167.38, 9,894.12 and 4,182.08

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Solution

The fourth proportional to 7,167.38, 9,894.12 and 4,182.08 is: 5,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.38 : 9,894.12 = 4,182.08 : x
  2. Step 2: Convert to fraction form
    7,167.38/9,894.12 = 4,182.08/x
  3. Step 3: Cross multiply
    7,167.38x = 9,894.12 × 4,182.08
  4. Step 4: Simplify right side
    7,167.38x = 41,378,001.37
  5. Step 5: Solve for x
    x = 41,378,001.37/7,167.38
  6. Step 6: Final answer
    x = 5,773.10

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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.