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Finding the Fourth Proportional to 7,664.31, 11,494.03 and 2,468.97

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Solution

The fourth proportional to 7,664.31, 11,494.03 and 2,468.97 is: 3,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.31 : 11,494.03 = 2,468.97 : x
  2. Step 2: Convert to fraction form
    7,664.31/11,494.03 = 2,468.97/x
  3. Step 3: Cross multiply
    7,664.31x = 11,494.03 × 2,468.97
  4. Step 4: Simplify right side
    7,664.31x = 28,378,415.25
  5. Step 5: Solve for x
    x = 28,378,415.25/7,664.31
  6. Step 6: Final answer
    x = 3,702.67

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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.