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Finding the Fourth Proportional to 11,768.95, 16,239.85 and 6,734.53

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Solution

The fourth proportional to 11,768.95, 16,239.85 and 6,734.53 is: 9,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.95 : 16,239.85 = 6,734.53 : x
  2. Step 2: Convert to fraction form
    11,768.95/16,239.85 = 6,734.53/x
  3. Step 3: Cross multiply
    11,768.95x = 16,239.85 × 6,734.53
  4. Step 4: Simplify right side
    11,768.95x = 109,367,757.02
  5. Step 5: Solve for x
    x = 109,367,757.02/11,768.95
  6. Step 6: Final answer
    x = 9,292.91

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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.