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Finding the Fourth Proportional to 26,960.92, 40,445.70 and 7,987.48

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Solution

The fourth proportional to 26,960.92, 40,445.70 and 7,987.48 is: 11,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,960.92 : 40,445.70 = 7,987.48 : x
  2. Step 2: Convert to fraction form
    26,960.92/40,445.70 = 7,987.48/x
  3. Step 3: Cross multiply
    26,960.92x = 40,445.70 × 7,987.48
  4. Step 4: Simplify right side
    26,960.92x = 323,059,219.84
  5. Step 5: Solve for x
    x = 323,059,219.84/26,960.92
  6. Step 6: Final answer
    x = 11,982.50

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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.