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Finding the Fourth Proportional to 12,132.18, 16,745.13 and 7,938

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Solution

The fourth proportional to 12,132.18, 16,745.13 and 7,938 is: 10,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.18 : 16,745.13 = 7,938 : x
  2. Step 2: Convert to fraction form
    12,132.18/16,745.13 = 7,938/x
  3. Step 3: Cross multiply
    12,132.18x = 16,745.13 × 7,938
  4. Step 4: Simplify right side
    12,132.18x = 132,922,841.94
  5. Step 5: Solve for x
    x = 132,922,841.94/12,132.18
  6. Step 6: Final answer
    x = 10,956.22

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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.