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Finding the Fourth Proportional to 6,342.63, 8,751.81 and 3,983.10

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Solution

The fourth proportional to 6,342.63, 8,751.81 and 3,983.10 is: 5,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.63 : 8,751.81 = 3,983.10 : x
  2. Step 2: Convert to fraction form
    6,342.63/8,751.81 = 3,983.10/x
  3. Step 3: Cross multiply
    6,342.63x = 8,751.81 × 3,983.10
  4. Step 4: Simplify right side
    6,342.63x = 34,859,334.41
  5. Step 5: Solve for x
    x = 34,859,334.41/6,342.63
  6. Step 6: Final answer
    x = 5,496.04

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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.