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Finding the Fourth Proportional to 11,865.25, 17,806.64 and 5,625.25

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Solution

The fourth proportional to 11,865.25, 17,806.64 and 5,625.25 is: 8,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.25 : 17,806.64 = 5,625.25 : x
  2. Step 2: Convert to fraction form
    11,865.25/17,806.64 = 5,625.25/x
  3. Step 3: Cross multiply
    11,865.25x = 17,806.64 × 5,625.25
  4. Step 4: Simplify right side
    11,865.25x = 100,166,729.02
  5. Step 5: Solve for x
    x = 100,166,729.02/11,865.25
  6. Step 6: Final answer
    x = 8,442.02

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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.