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Finding the Fourth Proportional to 11,497.91, 17,246.82 and 3,177.91

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Solution

The fourth proportional to 11,497.91, 17,246.82 and 3,177.91 is: 4,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.91 : 17,246.82 = 3,177.91 : x
  2. Step 2: Convert to fraction form
    11,497.91/17,246.82 = 3,177.91/x
  3. Step 3: Cross multiply
    11,497.91x = 17,246.82 × 3,177.91
  4. Step 4: Simplify right side
    11,497.91x = 54,808,841.75
  5. Step 5: Solve for x
    x = 54,808,841.75/11,497.91
  6. Step 6: Final answer
    x = 4,766.85

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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.