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Finding the Fourth Proportional to 26,863.77, 40,295.62 and 7,142.34

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Solution

The fourth proportional to 26,863.77, 40,295.62 and 7,142.34 is: 10,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863.77 : 40,295.62 = 7,142.34 : x
  2. Step 2: Convert to fraction form
    26,863.77/40,295.62 = 7,142.34/x
  3. Step 3: Cross multiply
    26,863.77x = 40,295.62 × 7,142.34
  4. Step 4: Simplify right side
    26,863.77x = 287,805,000.69
  5. Step 5: Solve for x
    x = 287,805,000.69/26,863.77
  6. Step 6: Final answer
    x = 10,713.50

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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.