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Finding the Fourth Proportional to 11,811.99, 17,718.38 and 6,257.82

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Solution

The fourth proportional to 11,811.99, 17,718.38 and 6,257.82 is: 9,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.99 : 17,718.38 = 6,257.82 : x
  2. Step 2: Convert to fraction form
    11,811.99/17,718.38 = 6,257.82/x
  3. Step 3: Cross multiply
    11,811.99x = 17,718.38 × 6,257.82
  4. Step 4: Simplify right side
    11,811.99x = 110,878,432.73
  5. Step 5: Solve for x
    x = 110,878,432.73/11,811.99
  6. Step 6: Final answer
    x = 9,386.94

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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.