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Finding the Fourth Proportional to 11,729.44, 16,185.61 and 6,948.55

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Solution

The fourth proportional to 11,729.44, 16,185.61 and 6,948.55 is: 9,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.44 : 16,185.61 = 6,948.55 : x
  2. Step 2: Convert to fraction form
    11,729.44/16,185.61 = 6,948.55/x
  3. Step 3: Cross multiply
    11,729.44x = 16,185.61 × 6,948.55
  4. Step 4: Simplify right side
    11,729.44x = 112,466,404.69
  5. Step 5: Solve for x
    x = 112,466,404.69/11,729.44
  6. Step 6: Final answer
    x = 9,588.39

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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.