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Finding the Fourth Proportional to 11,841.39, 16,339.97 and 6,535.87

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Solution

The fourth proportional to 11,841.39, 16,339.97 and 6,535.87 is: 9,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.39 : 16,339.97 = 6,535.87 : x
  2. Step 2: Convert to fraction form
    11,841.39/16,339.97 = 6,535.87/x
  3. Step 3: Cross multiply
    11,841.39x = 16,339.97 × 6,535.87
  4. Step 4: Simplify right side
    11,841.39x = 106,795,895.21
  5. Step 5: Solve for x
    x = 106,795,895.21/11,841.39
  6. Step 6: Final answer
    x = 9,018.86

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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.