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Finding the Fourth Proportional to 8,195.25, 11,310.41 and 4,659

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Solution

The fourth proportional to 8,195.25, 11,310.41 and 4,659 is: 6,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.25 : 11,310.41 = 4,659 : x
  2. Step 2: Convert to fraction form
    8,195.25/11,310.41 = 4,659/x
  3. Step 3: Cross multiply
    8,195.25x = 11,310.41 × 4,659
  4. Step 4: Simplify right side
    8,195.25x = 52,695,200.19
  5. Step 5: Solve for x
    x = 52,695,200.19/8,195.25
  6. Step 6: Final answer
    x = 6,429.97

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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.