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Finding the Fourth Proportional to 13,511.88, 18,646.94 and 7,542.38

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Solution

The fourth proportional to 13,511.88, 18,646.94 and 7,542.38 is: 10,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.88 : 18,646.94 = 7,542.38 : x
  2. Step 2: Convert to fraction form
    13,511.88/18,646.94 = 7,542.38/x
  3. Step 3: Cross multiply
    13,511.88x = 18,646.94 × 7,542.38
  4. Step 4: Simplify right side
    13,511.88x = 140,642,372.79
  5. Step 5: Solve for x
    x = 140,642,372.79/13,511.88
  6. Step 6: Final answer
    x = 10,408.79

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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.