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Finding the Fourth Proportional to 8,335.25, 12,505.97 and 3,895.42

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Solution

The fourth proportional to 8,335.25, 12,505.97 and 3,895.42 is: 5,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.25 : 12,505.97 = 3,895.42 : x
  2. Step 2: Convert to fraction form
    8,335.25/12,505.97 = 3,895.42/x
  3. Step 3: Cross multiply
    8,335.25x = 12,505.97 × 3,895.42
  4. Step 4: Simplify right side
    8,335.25x = 48,716,005.66
  5. Step 5: Solve for x
    x = 48,716,005.66/8,335.25
  6. Step 6: Final answer
    x = 5,844.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.