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Finding the Fourth Proportional to 7,662.16, 11,493.24 and 2,468.03

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Solution

The fourth proportional to 7,662.16, 11,493.24 and 2,468.03 is: 3,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.16 : 11,493.24 = 2,468.03 : x
  2. Step 2: Convert to fraction form
    7,662.16/11,493.24 = 2,468.03/x
  3. Step 3: Cross multiply
    7,662.16x = 11,493.24 × 2,468.03
  4. Step 4: Simplify right side
    7,662.16x = 28,365,648.78
  5. Step 5: Solve for x
    x = 28,365,648.78/7,662.16
  6. Step 6: Final answer
    x = 3,702.05

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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.