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Finding the Fourth Proportional to 8,422.68, 11,616.30 and 6,323.16

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Solution

The fourth proportional to 8,422.68, 11,616.30 and 6,323.16 is: 8,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.68 : 11,616.30 = 6,323.16 : x
  2. Step 2: Convert to fraction form
    8,422.68/11,616.30 = 6,323.16/x
  3. Step 3: Cross multiply
    8,422.68x = 11,616.30 × 6,323.16
  4. Step 4: Simplify right side
    8,422.68x = 73,451,723.51
  5. Step 5: Solve for x
    x = 73,451,723.51/8,422.68
  6. Step 6: Final answer
    x = 8,720.71

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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.