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Finding the Fourth Proportional to 8,412.02, 12,617.75 and 3,480.20

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Solution

The fourth proportional to 8,412.02, 12,617.75 and 3,480.20 is: 5,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.02 : 12,617.75 = 3,480.20 : x
  2. Step 2: Convert to fraction form
    8,412.02/12,617.75 = 3,480.20/x
  3. Step 3: Cross multiply
    8,412.02x = 12,617.75 × 3,480.20
  4. Step 4: Simplify right side
    8,412.02x = 43,912,230.46
  5. Step 5: Solve for x
    x = 43,912,230.46/8,412.02
  6. Step 6: Final answer
    x = 5,220.18

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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.