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Finding the Fourth Proportional to 7,786.08, 11,672.10 and 3,103.20

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Solution

The fourth proportional to 7,786.08, 11,672.10 and 3,103.20 is: 4,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.08 : 11,672.10 = 3,103.20 : x
  2. Step 2: Convert to fraction form
    7,786.08/11,672.10 = 3,103.20/x
  3. Step 3: Cross multiply
    7,786.08x = 11,672.10 × 3,103.20
  4. Step 4: Simplify right side
    7,786.08x = 36,220,860.72
  5. Step 5: Solve for x
    x = 36,220,860.72/7,786.08
  6. Step 6: Final answer
    x = 4,652.00

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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.