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Finding the Fourth Proportional to 8,682.72, 13,023.54 and 3,748.90

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Solution

The fourth proportional to 8,682.72, 13,023.54 and 3,748.90 is: 5,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.72 : 13,023.54 = 3,748.90 : x
  2. Step 2: Convert to fraction form
    8,682.72/13,023.54 = 3,748.90/x
  3. Step 3: Cross multiply
    8,682.72x = 13,023.54 × 3,748.90
  4. Step 4: Simplify right side
    8,682.72x = 48,823,949.11
  5. Step 5: Solve for x
    x = 48,823,949.11/8,682.72
  6. Step 6: Final answer
    x = 5,623.12

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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.