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Finding the Fourth Proportional to 11,611.90, 16,031.07 and 7,644.55

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Solution

The fourth proportional to 11,611.90, 16,031.07 and 7,644.55 is: 10,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.90 : 16,031.07 = 7,644.55 : x
  2. Step 2: Convert to fraction form
    11,611.90/16,031.07 = 7,644.55/x
  3. Step 3: Cross multiply
    11,611.90x = 16,031.07 × 7,644.55
  4. Step 4: Simplify right side
    11,611.90x = 122,550,197.79
  5. Step 5: Solve for x
    x = 122,550,197.79/11,611.90
  6. Step 6: Final answer
    x = 10,553.85

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