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Finding the Fourth Proportional to 8,682.72, 13,029.52 and 5,402.22

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Solution

The fourth proportional to 8,682.72, 13,029.52 and 5,402.22 is: 8,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.72 : 13,029.52 = 5,402.22 : x
  2. Step 2: Convert to fraction form
    8,682.72/13,029.52 = 5,402.22/x
  3. Step 3: Cross multiply
    8,682.72x = 13,029.52 × 5,402.22
  4. Step 4: Simplify right side
    8,682.72x = 70,388,333.53
  5. Step 5: Solve for x
    x = 70,388,333.53/8,682.72
  6. Step 6: Final answer
    x = 8,106.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.