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Finding the Fourth Proportional to 8,669.38, 11,963.82 and 5,525.50

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Solution

The fourth proportional to 8,669.38, 11,963.82 and 5,525.50 is: 7,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.38 : 11,963.82 = 5,525.50 : x
  2. Step 2: Convert to fraction form
    8,669.38/11,963.82 = 5,525.50/x
  3. Step 3: Cross multiply
    8,669.38x = 11,963.82 × 5,525.50
  4. Step 4: Simplify right side
    8,669.38x = 66,106,087.41
  5. Step 5: Solve for x
    x = 66,106,087.41/8,669.38
  6. Step 6: Final answer
    x = 7,625.24

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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.