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Finding the Fourth Proportional to 26,397, 39,595.68 and 7,929

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Solution

The fourth proportional to 26,397, 39,595.68 and 7,929 is: 11,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,397 : 39,595.68 = 7,929 : x
  2. Step 2: Convert to fraction form
    26,397/39,595.68 = 7,929/x
  3. Step 3: Cross multiply
    26,397x = 39,595.68 × 7,929
  4. Step 4: Simplify right side
    26,397x = 313,954,146.72
  5. Step 5: Solve for x
    x = 313,954,146.72/26,397
  6. Step 6: Final answer
    x = 11,893.55

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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.