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Finding the Fourth Proportional to 11,758.44, 17,613.97 and 7,811.92

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Solution

The fourth proportional to 11,758.44, 17,613.97 and 7,811.92 is: 11,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.44 : 17,613.97 = 7,811.92 : x
  2. Step 2: Convert to fraction form
    11,758.44/17,613.97 = 7,811.92/x
  3. Step 3: Cross multiply
    11,758.44x = 17,613.97 × 7,811.92
  4. Step 4: Simplify right side
    11,758.44x = 137,598,860.96
  5. Step 5: Solve for x
    x = 137,598,860.96/11,758.44
  6. Step 6: Final answer
    x = 11,702.14

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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.