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Finding the Fourth Proportional to 8,614.13, 12,921.24 and 3,420

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Solution

The fourth proportional to 8,614.13, 12,921.24 and 3,420 is: 5,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.13 : 12,921.24 = 3,420 : x
  2. Step 2: Convert to fraction form
    8,614.13/12,921.24 = 3,420/x
  3. Step 3: Cross multiply
    8,614.13x = 12,921.24 × 3,420
  4. Step 4: Simplify right side
    8,614.13x = 44,190,640.80
  5. Step 5: Solve for x
    x = 44,190,640.80/8,614.13
  6. Step 6: Final answer
    x = 5,130.02

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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.