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Finding the Fourth Proportional to 8,654.96, 12,982.44 and 5,216.24

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Solution

The fourth proportional to 8,654.96, 12,982.44 and 5,216.24 is: 7,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.96 : 12,982.44 = 5,216.24 : x
  2. Step 2: Convert to fraction form
    8,654.96/12,982.44 = 5,216.24/x
  3. Step 3: Cross multiply
    8,654.96x = 12,982.44 × 5,216.24
  4. Step 4: Simplify right side
    8,654.96x = 67,719,522.83
  5. Step 5: Solve for x
    x = 67,719,522.83/8,654.96
  6. Step 6: Final answer
    x = 7,824.36

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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.