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Finding the Fourth Proportional to 8,233.95, 12,351.06 and 5,772.63

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Solution

The fourth proportional to 8,233.95, 12,351.06 and 5,772.63 is: 8,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.95 : 12,351.06 = 5,772.63 : x
  2. Step 2: Convert to fraction form
    8,233.95/12,351.06 = 5,772.63/x
  3. Step 3: Cross multiply
    8,233.95x = 12,351.06 × 5,772.63
  4. Step 4: Simplify right side
    8,233.95x = 71,298,099.49
  5. Step 5: Solve for x
    x = 71,298,099.49/8,233.95
  6. Step 6: Final answer
    x = 8,659.04

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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.