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Finding the Fourth Proportional to 26,327, 39,496.74 and 7,859.48

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Solution

The fourth proportional to 26,327, 39,496.74 and 7,859.48 is: 11,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,327 : 39,496.74 = 7,859.48 : x
  2. Step 2: Convert to fraction form
    26,327/39,496.74 = 7,859.48/x
  3. Step 3: Cross multiply
    26,327x = 39,496.74 × 7,859.48
  4. Step 4: Simplify right side
    26,327x = 310,423,838.10
  5. Step 5: Solve for x
    x = 310,423,838.10/26,327
  6. Step 6: Final answer
    x = 11,791.08

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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.