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Finding the Fourth Proportional to 8,462.72, 11,682.64 and 5,634.80

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Solution

The fourth proportional to 8,462.72, 11,682.64 and 5,634.80 is: 7,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.72 : 11,682.64 = 5,634.80 : x
  2. Step 2: Convert to fraction form
    8,462.72/11,682.64 = 5,634.80/x
  3. Step 3: Cross multiply
    8,462.72x = 11,682.64 × 5,634.80
  4. Step 4: Simplify right side
    8,462.72x = 65,829,339.87
  5. Step 5: Solve for x
    x = 65,829,339.87/8,462.72
  6. Step 6: Final answer
    x = 7,778.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.