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Finding the Fourth Proportional to 26,263.75, 39,395.78 and 6,542.31

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Solution

The fourth proportional to 26,263.75, 39,395.78 and 6,542.31 is: 9,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,263.75 : 39,395.78 = 6,542.31 : x
  2. Step 2: Convert to fraction form
    26,263.75/39,395.78 = 6,542.31/x
  3. Step 3: Cross multiply
    26,263.75x = 39,395.78 × 6,542.31
  4. Step 4: Simplify right side
    26,263.75x = 257,739,405.45
  5. Step 5: Solve for x
    x = 257,739,405.45/26,263.75
  6. Step 6: Final answer
    x = 9,813.50

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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.