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Finding the Fourth Proportional to 10,144.51, 13,992.01 and 6,781.41

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Solution

The fourth proportional to 10,144.51, 13,992.01 and 6,781.41 is: 9,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.51 : 13,992.01 = 6,781.41 : x
  2. Step 2: Convert to fraction form
    10,144.51/13,992.01 = 6,781.41/x
  3. Step 3: Cross multiply
    10,144.51x = 13,992.01 × 6,781.41
  4. Step 4: Simplify right side
    10,144.51x = 94,885,556.53
  5. Step 5: Solve for x
    x = 94,885,556.53/10,144.51
  6. Step 6: Final answer
    x = 9,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.