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Finding the Fourth Proportional to 8,221.92, 11,343.47 and 4,682.62

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Solution

The fourth proportional to 8,221.92, 11,343.47 and 4,682.62 is: 6,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.92 : 11,343.47 = 4,682.62 : x
  2. Step 2: Convert to fraction form
    8,221.92/11,343.47 = 4,682.62/x
  3. Step 3: Cross multiply
    8,221.92x = 11,343.47 × 4,682.62
  4. Step 4: Simplify right side
    8,221.92x = 53,117,159.49
  5. Step 5: Solve for x
    x = 53,117,159.49/8,221.92
  6. Step 6: Final answer
    x = 6,460.43

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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.