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Finding the Fourth Proportional to 11,795.52, 17,696.24 and 4,400.22

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Solution

The fourth proportional to 11,795.52, 17,696.24 and 4,400.22 is: 6,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.52 : 17,696.24 = 4,400.22 : x
  2. Step 2: Convert to fraction form
    11,795.52/17,696.24 = 4,400.22/x
  3. Step 3: Cross multiply
    11,795.52x = 17,696.24 × 4,400.22
  4. Step 4: Simplify right side
    11,795.52x = 77,867,349.17
  5. Step 5: Solve for x
    x = 77,867,349.17/11,795.52
  6. Step 6: Final answer
    x = 6,601.43

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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.