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Finding the Fourth Proportional to 11,497.92, 17,246.25 and 3,177.99

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Solution

The fourth proportional to 11,497.92, 17,246.25 and 3,177.99 is: 4,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.92 : 17,246.25 = 3,177.99 : x
  2. Step 2: Convert to fraction form
    11,497.92/17,246.25 = 3,177.99/x
  3. Step 3: Cross multiply
    11,497.92x = 17,246.25 × 3,177.99
  4. Step 4: Simplify right side
    11,497.92x = 54,808,410.04
  5. Step 5: Solve for x
    x = 54,808,410.04/11,497.92
  6. Step 6: Final answer
    x = 4,766.81

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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.