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Finding the Fourth Proportional to 7,793.36, 11,691 and 3,175.76

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Solution

The fourth proportional to 7,793.36, 11,691 and 3,175.76 is: 4,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.36 : 11,691 = 3,175.76 : x
  2. Step 2: Convert to fraction form
    7,793.36/11,691 = 3,175.76/x
  3. Step 3: Cross multiply
    7,793.36x = 11,691 × 3,175.76
  4. Step 4: Simplify right side
    7,793.36x = 37,127,810.16
  5. Step 5: Solve for x
    x = 37,127,810.16/7,793.36
  6. Step 6: Final answer
    x = 4,764.03

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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.