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Finding the Fourth Proportional to 8,362.28, 12,543.47 and 2,122.31

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Solution

The fourth proportional to 8,362.28, 12,543.47 and 2,122.31 is: 3,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.28 : 12,543.47 = 2,122.31 : x
  2. Step 2: Convert to fraction form
    8,362.28/12,543.47 = 2,122.31/x
  3. Step 3: Cross multiply
    8,362.28x = 12,543.47 × 2,122.31
  4. Step 4: Simplify right side
    8,362.28x = 26,621,058.49
  5. Step 5: Solve for x
    x = 26,621,058.49/8,362.28
  6. Step 6: Final answer
    x = 3,183.47

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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.