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Finding the Fourth Proportional to 10,811.52, 16,203.15 and 5,542.07

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Solution

The fourth proportional to 10,811.52, 16,203.15 and 5,542.07 is: 8,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.52 : 16,203.15 = 5,542.07 : x
  2. Step 2: Convert to fraction form
    10,811.52/16,203.15 = 5,542.07/x
  3. Step 3: Cross multiply
    10,811.52x = 16,203.15 × 5,542.07
  4. Step 4: Simplify right side
    10,811.52x = 89,798,910.50
  5. Step 5: Solve for x
    x = 89,798,910.50/10,811.52
  6. Step 6: Final answer
    x = 8,305.85

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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.