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Finding the Fourth Proportional to 7,691.10, 11,533.82 and 2,764.82

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Solution

The fourth proportional to 7,691.10, 11,533.82 and 2,764.82 is: 4,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.10 : 11,533.82 = 2,764.82 : x
  2. Step 2: Convert to fraction form
    7,691.10/11,533.82 = 2,764.82/x
  3. Step 3: Cross multiply
    7,691.10x = 11,533.82 × 2,764.82
  4. Step 4: Simplify right side
    7,691.10x = 31,888,864.72
  5. Step 5: Solve for x
    x = 31,888,864.72/7,691.10
  6. Step 6: Final answer
    x = 4,146.20

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Why These Related Problems?

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