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Finding the Fourth Proportional to 8,184.96, 12,277.44 and 7,057.44

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Solution

The fourth proportional to 8,184.96, 12,277.44 and 7,057.44 is: 10,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.96 : 12,277.44 = 7,057.44 : x
  2. Step 2: Convert to fraction form
    8,184.96/12,277.44 = 7,057.44/x
  3. Step 3: Cross multiply
    8,184.96x = 12,277.44 × 7,057.44
  4. Step 4: Simplify right side
    8,184.96x = 86,647,296.15
  5. Step 5: Solve for x
    x = 86,647,296.15/8,184.96
  6. Step 6: Final answer
    x = 10,586.16

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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.