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Finding the Fourth Proportional to 8,263.64, 12,394.56 and 2,420.30

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Solution

The fourth proportional to 8,263.64, 12,394.56 and 2,420.30 is: 3,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.64 : 12,394.56 = 2,420.30 : x
  2. Step 2: Convert to fraction form
    8,263.64/12,394.56 = 2,420.30/x
  3. Step 3: Cross multiply
    8,263.64x = 12,394.56 × 2,420.30
  4. Step 4: Simplify right side
    8,263.64x = 29,998,553.57
  5. Step 5: Solve for x
    x = 29,998,553.57/8,263.64
  6. Step 6: Final answer
    x = 3,630.19

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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.