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Finding the Fourth Proportional to 26,978.97, 40,468.46 and 7,259.52

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Solution

The fourth proportional to 26,978.97, 40,468.46 and 7,259.52 is: 10,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.97 : 40,468.46 = 7,259.52 : x
  2. Step 2: Convert to fraction form
    26,978.97/40,468.46 = 7,259.52/x
  3. Step 3: Cross multiply
    26,978.97x = 40,468.46 × 7,259.52
  4. Step 4: Simplify right side
    26,978.97x = 293,781,751.03
  5. Step 5: Solve for x
    x = 293,781,751.03/26,978.97
  6. Step 6: Final answer
    x = 10,889.29

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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.