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Finding the Fourth Proportional to 10,131.78, 13,987.67 and 7,722.84

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Solution

The fourth proportional to 10,131.78, 13,987.67 and 7,722.84 is: 10,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.78 : 13,987.67 = 7,722.84 : x
  2. Step 2: Convert to fraction form
    10,131.78/13,987.67 = 7,722.84/x
  3. Step 3: Cross multiply
    10,131.78x = 13,987.67 × 7,722.84
  4. Step 4: Simplify right side
    10,131.78x = 108,024,537.38
  5. Step 5: Solve for x
    x = 108,024,537.38/10,131.78
  6. Step 6: Final answer
    x = 10,661.95

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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.