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Finding the Fourth Proportional to 10,057.62, 13,874.84 and 6,278.34

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Solution

The fourth proportional to 10,057.62, 13,874.84 and 6,278.34 is: 8,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.62 : 13,874.84 = 6,278.34 : x
  2. Step 2: Convert to fraction form
    10,057.62/13,874.84 = 6,278.34/x
  3. Step 3: Cross multiply
    10,057.62x = 13,874.84 × 6,278.34
  4. Step 4: Simplify right side
    10,057.62x = 87,110,962.97
  5. Step 5: Solve for x
    x = 87,110,962.97/10,057.62
  6. Step 6: Final answer
    x = 8,661.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.