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Finding the Fourth Proportional to 11,497.41, 17,246.07 and 3,177.41

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Solution

The fourth proportional to 11,497.41, 17,246.07 and 3,177.41 is: 4,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.41 : 17,246.07 = 3,177.41 : x
  2. Step 2: Convert to fraction form
    11,497.41/17,246.07 = 3,177.41/x
  3. Step 3: Cross multiply
    11,497.41x = 17,246.07 × 3,177.41
  4. Step 4: Simplify right side
    11,497.41x = 54,797,835.28
  5. Step 5: Solve for x
    x = 54,797,835.28/11,497.41
  6. Step 6: Final answer
    x = 4,766.10

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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.