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Finding the Fourth Proportional to 26,377, 39,565.50 and 7,909

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Solution

The fourth proportional to 26,377, 39,565.50 and 7,909 is: 11,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,377 : 39,565.50 = 7,909 : x
  2. Step 2: Convert to fraction form
    26,377/39,565.50 = 7,909/x
  3. Step 3: Cross multiply
    26,377x = 39,565.50 × 7,909
  4. Step 4: Simplify right side
    26,377x = 312,923,539.50
  5. Step 5: Solve for x
    x = 312,923,539.50/26,377
  6. Step 6: Final answer
    x = 11,863.50

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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.