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Finding the Fourth Proportional to 10,909.86, 16,367.41 and 3,515.02

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Solution

The fourth proportional to 10,909.86, 16,367.41 and 3,515.02 is: 5,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.86 : 16,367.41 = 3,515.02 : x
  2. Step 2: Convert to fraction form
    10,909.86/16,367.41 = 3,515.02/x
  3. Step 3: Cross multiply
    10,909.86x = 16,367.41 × 3,515.02
  4. Step 4: Simplify right side
    10,909.86x = 57,531,773.50
  5. Step 5: Solve for x
    x = 57,531,773.50/10,909.86
  6. Step 6: Final answer
    x = 5,273.37

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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.