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Finding the Fourth Proportional to 26,510, 39,765.24 and 8,042

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Solution

The fourth proportional to 26,510, 39,765.24 and 8,042 is: 12,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,510 : 39,765.24 = 8,042 : x
  2. Step 2: Convert to fraction form
    26,510/39,765.24 = 8,042/x
  3. Step 3: Cross multiply
    26,510x = 39,765.24 × 8,042
  4. Step 4: Simplify right side
    26,510x = 319,792,060.08
  5. Step 5: Solve for x
    x = 319,792,060.08/26,510
  6. Step 6: Final answer
    x = 12,063.07

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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.