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Finding the Fourth Proportional to 7,481.56, 11,221.84 and 3,095.82

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Solution

The fourth proportional to 7,481.56, 11,221.84 and 3,095.82 is: 4,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.56 : 11,221.84 = 3,095.82 : x
  2. Step 2: Convert to fraction form
    7,481.56/11,221.84 = 3,095.82/x
  3. Step 3: Cross multiply
    7,481.56x = 11,221.84 × 3,095.82
  4. Step 4: Simplify right side
    7,481.56x = 34,740,796.71
  5. Step 5: Solve for x
    x = 34,740,796.71/7,481.56
  6. Step 6: Final answer
    x = 4,643.52

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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.