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Finding the Fourth Proportional to 11,028.52, 16,542.86 and 4,103

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Solution

The fourth proportional to 11,028.52, 16,542.86 and 4,103 is: 6,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.52 : 16,542.86 = 4,103 : x
  2. Step 2: Convert to fraction form
    11,028.52/16,542.86 = 4,103/x
  3. Step 3: Cross multiply
    11,028.52x = 16,542.86 × 4,103
  4. Step 4: Simplify right side
    11,028.52x = 67,875,354.58
  5. Step 5: Solve for x
    x = 67,875,354.58/11,028.52
  6. Step 6: Final answer
    x = 6,154.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.