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Finding the Fourth Proportional to 7,662.44, 11,493.38 and 2,468.46

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Solution

The fourth proportional to 7,662.44, 11,493.38 and 2,468.46 is: 3,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.44 : 11,493.38 = 2,468.46 : x
  2. Step 2: Convert to fraction form
    7,662.44/11,493.38 = 2,468.46/x
  3. Step 3: Cross multiply
    7,662.44x = 11,493.38 × 2,468.46
  4. Step 4: Simplify right side
    7,662.44x = 28,370,948.79
  5. Step 5: Solve for x
    x = 28,370,948.79/7,662.44
  6. Step 6: Final answer
    x = 3,702.60

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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.