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Finding the Fourth Proportional to 26,377.75, 39,566.63 and 7,909.75

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Solution

The fourth proportional to 26,377.75, 39,566.63 and 7,909.75 is: 11,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,377.75 : 39,566.63 = 7,909.75 : x
  2. Step 2: Convert to fraction form
    26,377.75/39,566.63 = 7,909.75/x
  3. Step 3: Cross multiply
    26,377.75x = 39,566.63 × 7,909.75
  4. Step 4: Simplify right side
    26,377.75x = 312,962,151.64
  5. Step 5: Solve for x
    x = 312,962,151.64/26,377.75
  6. Step 6: Final answer
    x = 11,864.63

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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.