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Finding the Fourth Proportional to 8,661.90, 11,950.22 and 5,679.38

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Solution

The fourth proportional to 8,661.90, 11,950.22 and 5,679.38 is: 7,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.90 : 11,950.22 = 5,679.38 : x
  2. Step 2: Convert to fraction form
    8,661.90/11,950.22 = 5,679.38/x
  3. Step 3: Cross multiply
    8,661.90x = 11,950.22 × 5,679.38
  4. Step 4: Simplify right side
    8,661.90x = 67,869,840.46
  5. Step 5: Solve for x
    x = 67,869,840.46/8,661.90
  6. Step 6: Final answer
    x = 7,835.44

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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.