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Finding the Fourth Proportional to 10,054.38, 13,874.73 and 6,074.82

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Solution

The fourth proportional to 10,054.38, 13,874.73 and 6,074.82 is: 8,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.38 : 13,874.73 = 6,074.82 : x
  2. Step 2: Convert to fraction form
    10,054.38/13,874.73 = 6,074.82/x
  3. Step 3: Cross multiply
    10,054.38x = 13,874.73 × 6,074.82
  4. Step 4: Simplify right side
    10,054.38x = 84,286,487.30
  5. Step 5: Solve for x
    x = 84,286,487.30/10,054.38
  6. Step 6: Final answer
    x = 8,383.06

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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.