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Finding the Fourth Proportional to 11,749.20, 16,211.88 and 7,768.18

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Solution

The fourth proportional to 11,749.20, 16,211.88 and 7,768.18 is: 10,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.20 : 16,211.88 = 7,768.18 : x
  2. Step 2: Convert to fraction form
    11,749.20/16,211.88 = 7,768.18/x
  3. Step 3: Cross multiply
    11,749.20x = 16,211.88 × 7,768.18
  4. Step 4: Simplify right side
    11,749.20x = 125,936,801.98
  5. Step 5: Solve for x
    x = 125,936,801.98/11,749.20
  6. Step 6: Final answer
    x = 10,718.76

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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.