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Finding the Fourth Proportional to 26,508.78, 39,763.08 and 6,787.26

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Solution

The fourth proportional to 26,508.78, 39,763.08 and 6,787.26 is: 10,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,508.78 : 39,763.08 = 6,787.26 : x
  2. Step 2: Convert to fraction form
    26,508.78/39,763.08 = 6,787.26/x
  3. Step 3: Cross multiply
    26,508.78x = 39,763.08 × 6,787.26
  4. Step 4: Simplify right side
    26,508.78x = 269,882,362.36
  5. Step 5: Solve for x
    x = 269,882,362.36/26,508.78
  6. Step 6: Final answer
    x = 10,180.87

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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.