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Finding the Fourth Proportional to 8,270.37, 12,406.14 and 3,340.04

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Solution

The fourth proportional to 8,270.37, 12,406.14 and 3,340.04 is: 5,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.37 : 12,406.14 = 3,340.04 : x
  2. Step 2: Convert to fraction form
    8,270.37/12,406.14 = 3,340.04/x
  3. Step 3: Cross multiply
    8,270.37x = 12,406.14 × 3,340.04
  4. Step 4: Simplify right side
    8,270.37x = 41,436,941.81
  5. Step 5: Solve for x
    x = 41,436,941.81/8,270.37
  6. Step 6: Final answer
    x = 5,010.29

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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.