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Finding the Fourth Proportional to 25,331.44, 37,995.72 and 6,862

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Solution

The fourth proportional to 25,331.44, 37,995.72 and 6,862 is: 10,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,331.44 : 37,995.72 = 6,862 : x
  2. Step 2: Convert to fraction form
    25,331.44/37,995.72 = 6,862/x
  3. Step 3: Cross multiply
    25,331.44x = 37,995.72 × 6,862
  4. Step 4: Simplify right side
    25,331.44x = 260,726,630.64
  5. Step 5: Solve for x
    x = 260,726,630.64/25,331.44
  6. Step 6: Final answer
    x = 10,292.61

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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.