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Finding the Fourth Proportional to 11,756.58, 16,230.38 and 9,081.65

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Solution

The fourth proportional to 11,756.58, 16,230.38 and 9,081.65 is: 12,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.58 : 16,230.38 = 9,081.65 : x
  2. Step 2: Convert to fraction form
    11,756.58/16,230.38 = 9,081.65/x
  3. Step 3: Cross multiply
    11,756.58x = 16,230.38 × 9,081.65
  4. Step 4: Simplify right side
    11,756.58x = 147,398,625.69
  5. Step 5: Solve for x
    x = 147,398,625.69/11,756.58
  6. Step 6: Final answer
    x = 12,537.55

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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.