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Finding the Fourth Proportional to 12,086.75, 16,679.72 and 7,372.01

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Solution

The fourth proportional to 12,086.75, 16,679.72 and 7,372.01 is: 10,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.75 : 16,679.72 = 7,372.01 : x
  2. Step 2: Convert to fraction form
    12,086.75/16,679.72 = 7,372.01/x
  3. Step 3: Cross multiply
    12,086.75x = 16,679.72 × 7,372.01
  4. Step 4: Simplify right side
    12,086.75x = 122,963,062.64
  5. Step 5: Solve for x
    x = 122,963,062.64/12,086.75
  6. Step 6: Final answer
    x = 10,173.38

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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.