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Finding the Fourth Proportional to 8,644.82, 11,930.99 and 5,288.18

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Solution

The fourth proportional to 8,644.82, 11,930.99 and 5,288.18 is: 7,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.82 : 11,930.99 = 5,288.18 : x
  2. Step 2: Convert to fraction form
    8,644.82/11,930.99 = 5,288.18/x
  3. Step 3: Cross multiply
    8,644.82x = 11,930.99 × 5,288.18
  4. Step 4: Simplify right side
    8,644.82x = 63,093,136.60
  5. Step 5: Solve for x
    x = 63,093,136.60/8,644.82
  6. Step 6: Final answer
    x = 7,298.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.