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Finding the Fourth Proportional to 11,147.88, 16,724.34 and 5,603.88

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Solution

The fourth proportional to 11,147.88, 16,724.34 and 5,603.88 is: 8,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.88 : 16,724.34 = 5,603.88 : x
  2. Step 2: Convert to fraction form
    11,147.88/16,724.34 = 5,603.88/x
  3. Step 3: Cross multiply
    11,147.88x = 16,724.34 × 5,603.88
  4. Step 4: Simplify right side
    11,147.88x = 93,721,194.44
  5. Step 5: Solve for x
    x = 93,721,194.44/11,147.88
  6. Step 6: Final answer
    x = 8,407.09

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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.