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Finding the Fourth Proportional to 13,894.08, 19,175 and 7,926

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Solution

The fourth proportional to 13,894.08, 19,175 and 7,926 is: 10,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.08 : 19,175 = 7,926 : x
  2. Step 2: Convert to fraction form
    13,894.08/19,175 = 7,926/x
  3. Step 3: Cross multiply
    13,894.08x = 19,175 × 7,926
  4. Step 4: Simplify right side
    13,894.08x = 151,981,050
  5. Step 5: Solve for x
    x = 151,981,050/13,894.08
  6. Step 6: Final answer
    x = 10,938.55

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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.