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Finding the Fourth Proportional to 11,802.15, 17,692.29 and 5,951.97

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Solution

The fourth proportional to 11,802.15, 17,692.29 and 5,951.97 is: 8,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.15 : 17,692.29 = 5,951.97 : x
  2. Step 2: Convert to fraction form
    11,802.15/17,692.29 = 5,951.97/x
  3. Step 3: Cross multiply
    11,802.15x = 17,692.29 × 5,951.97
  4. Step 4: Simplify right side
    11,802.15x = 105,303,979.31
  5. Step 5: Solve for x
    x = 105,303,979.31/11,802.15
  6. Step 6: Final answer
    x = 8,922.44

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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.