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Finding the Fourth Proportional to 7,659.84, 11,481.15 and 3,901.08

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Solution

The fourth proportional to 7,659.84, 11,481.15 and 3,901.08 is: 5,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.84 : 11,481.15 = 3,901.08 : x
  2. Step 2: Convert to fraction form
    7,659.84/11,481.15 = 3,901.08/x
  3. Step 3: Cross multiply
    7,659.84x = 11,481.15 × 3,901.08
  4. Step 4: Simplify right side
    7,659.84x = 44,788,807.73
  5. Step 5: Solve for x
    x = 44,788,807.73/7,659.84
  6. Step 6: Final answer
    x = 5,847.22

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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.