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Finding the Fourth Proportional to 6,378.38, 8,802.77 and 3,861.12

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Solution

The fourth proportional to 6,378.38, 8,802.77 and 3,861.12 is: 5,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.38 : 8,802.77 = 3,861.12 : x
  2. Step 2: Convert to fraction form
    6,378.38/8,802.77 = 3,861.12/x
  3. Step 3: Cross multiply
    6,378.38x = 8,802.77 × 3,861.12
  4. Step 4: Simplify right side
    6,378.38x = 33,988,593.97
  5. Step 5: Solve for x
    x = 33,988,593.97/6,378.38
  6. Step 6: Final answer
    x = 5,328.72

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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.