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Finding the Fourth Proportional to 8,260.30, 12,380.73 and 4,099.06

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Solution

The fourth proportional to 8,260.30, 12,380.73 and 4,099.06 is: 6,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.30 : 12,380.73 = 4,099.06 : x
  2. Step 2: Convert to fraction form
    8,260.30/12,380.73 = 4,099.06/x
  3. Step 3: Cross multiply
    8,260.30x = 12,380.73 × 4,099.06
  4. Step 4: Simplify right side
    8,260.30x = 50,749,355.11
  5. Step 5: Solve for x
    x = 50,749,355.11/8,260.30
  6. Step 6: Final answer
    x = 6,143.77

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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.