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Finding the Fourth Proportional to 10,119.08, 13,958.71 and 5,926.52

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Solution

The fourth proportional to 10,119.08, 13,958.71 and 5,926.52 is: 8,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.08 : 13,958.71 = 5,926.52 : x
  2. Step 2: Convert to fraction form
    10,119.08/13,958.71 = 5,926.52/x
  3. Step 3: Cross multiply
    10,119.08x = 13,958.71 × 5,926.52
  4. Step 4: Simplify right side
    10,119.08x = 82,726,489.38
  5. Step 5: Solve for x
    x = 82,726,489.38/10,119.08
  6. Step 6: Final answer
    x = 8,175.30

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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.