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Finding the Fourth Proportional to 8,468.22, 11,680.14 and 5,283.12

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Solution

The fourth proportional to 8,468.22, 11,680.14 and 5,283.12 is: 7,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.22 : 11,680.14 = 5,283.12 : x
  2. Step 2: Convert to fraction form
    8,468.22/11,680.14 = 5,283.12/x
  3. Step 3: Cross multiply
    8,468.22x = 11,680.14 × 5,283.12
  4. Step 4: Simplify right side
    8,468.22x = 61,707,581.24
  5. Step 5: Solve for x
    x = 61,707,581.24/8,468.22
  6. Step 6: Final answer
    x = 7,286.96

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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.