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Finding the Fourth Proportional to 8,283.46, 12,420.90 and 2,439.30

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Solution

The fourth proportional to 8,283.46, 12,420.90 and 2,439.30 is: 3,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.46 : 12,420.90 = 2,439.30 : x
  2. Step 2: Convert to fraction form
    8,283.46/12,420.90 = 2,439.30/x
  3. Step 3: Cross multiply
    8,283.46x = 12,420.90 × 2,439.30
  4. Step 4: Simplify right side
    8,283.46x = 30,298,301.37
  5. Step 5: Solve for x
    x = 30,298,301.37/8,283.46
  6. Step 6: Final answer
    x = 3,657.69

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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.