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Finding the Fourth Proportional to 7,663.31, 11,496.81 and 2,664.96

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Solution

The fourth proportional to 7,663.31, 11,496.81 and 2,664.96 is: 3,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.31 : 11,496.81 = 2,664.96 : x
  2. Step 2: Convert to fraction form
    7,663.31/11,496.81 = 2,664.96/x
  3. Step 3: Cross multiply
    7,663.31x = 11,496.81 × 2,664.96
  4. Step 4: Simplify right side
    7,663.31x = 30,638,538.78
  5. Step 5: Solve for x
    x = 30,638,538.78/7,663.31
  6. Step 6: Final answer
    x = 3,998.08

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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.