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Finding the Fourth Proportional to 8,982.28, 12,395.10 and 5,003.80

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Solution

The fourth proportional to 8,982.28, 12,395.10 and 5,003.80 is: 6,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.28 : 12,395.10 = 5,003.80 : x
  2. Step 2: Convert to fraction form
    8,982.28/12,395.10 = 5,003.80/x
  3. Step 3: Cross multiply
    8,982.28x = 12,395.10 × 5,003.80
  4. Step 4: Simplify right side
    8,982.28x = 62,022,601.38
  5. Step 5: Solve for x
    x = 62,022,601.38/8,982.28
  6. Step 6: Final answer
    x = 6,905.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.