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Finding the Fourth Proportional to 12,140.53, 16,754.65 and 8,100.41

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Solution

The fourth proportional to 12,140.53, 16,754.65 and 8,100.41 is: 11,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.53 : 16,754.65 = 8,100.41 : x
  2. Step 2: Convert to fraction form
    12,140.53/16,754.65 = 8,100.41/x
  3. Step 3: Cross multiply
    12,140.53x = 16,754.65 × 8,100.41
  4. Step 4: Simplify right side
    12,140.53x = 135,719,430.38
  5. Step 5: Solve for x
    x = 135,719,430.38/12,140.53
  6. Step 6: Final answer
    x = 11,179.03

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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.