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Finding the Fourth Proportional to 8,286.89, 12,422.36 and 5,316.98

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Solution

The fourth proportional to 8,286.89, 12,422.36 and 5,316.98 is: 7,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.89 : 12,422.36 = 5,316.98 : x
  2. Step 2: Convert to fraction form
    8,286.89/12,422.36 = 5,316.98/x
  3. Step 3: Cross multiply
    8,286.89x = 12,422.36 × 5,316.98
  4. Step 4: Simplify right side
    8,286.89x = 66,049,350.98
  5. Step 5: Solve for x
    x = 66,049,350.98/8,286.89
  6. Step 6: Final answer
    x = 7,970.35

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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.