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Finding the Fourth Proportional to 11,271.83, 16,910.49 and 7,946.57

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Solution

The fourth proportional to 11,271.83, 16,910.49 and 7,946.57 is: 11,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.83 : 16,910.49 = 7,946.57 : x
  2. Step 2: Convert to fraction form
    11,271.83/16,910.49 = 7,946.57/x
  3. Step 3: Cross multiply
    11,271.83x = 16,910.49 × 7,946.57
  4. Step 4: Simplify right side
    11,271.83x = 134,380,307.97
  5. Step 5: Solve for x
    x = 134,380,307.97/11,271.83
  6. Step 6: Final answer
    x = 11,921.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.