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Finding the Fourth Proportional to 11,909.25, 16,434.99 and 6,531.35

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Solution

The fourth proportional to 11,909.25, 16,434.99 and 6,531.35 is: 9,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.25 : 16,434.99 = 6,531.35 : x
  2. Step 2: Convert to fraction form
    11,909.25/16,434.99 = 6,531.35/x
  3. Step 3: Cross multiply
    11,909.25x = 16,434.99 × 6,531.35
  4. Step 4: Simplify right side
    11,909.25x = 107,342,589.76
  5. Step 5: Solve for x
    x = 107,342,589.76/11,909.25
  6. Step 6: Final answer
    x = 9,013.38

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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.