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Finding the Fourth Proportional to 8,165.72, 12,249.40 and 3,784.44

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Solution

The fourth proportional to 8,165.72, 12,249.40 and 3,784.44 is: 5,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.72 : 12,249.40 = 3,784.44 : x
  2. Step 2: Convert to fraction form
    8,165.72/12,249.40 = 3,784.44/x
  3. Step 3: Cross multiply
    8,165.72x = 12,249.40 × 3,784.44
  4. Step 4: Simplify right side
    8,165.72x = 46,357,119.34
  5. Step 5: Solve for x
    x = 46,357,119.34/8,165.72
  6. Step 6: Final answer
    x = 5,677.04

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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.