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Finding the Fourth Proportional to 8,356.97, 12,535.46 and 3,972.04

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Solution

The fourth proportional to 8,356.97, 12,535.46 and 3,972.04 is: 5,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.97 : 12,535.46 = 3,972.04 : x
  2. Step 2: Convert to fraction form
    8,356.97/12,535.46 = 3,972.04/x
  3. Step 3: Cross multiply
    8,356.97x = 12,535.46 × 3,972.04
  4. Step 4: Simplify right side
    8,356.97x = 49,791,266.00
  5. Step 5: Solve for x
    x = 49,791,266.00/8,356.97
  6. Step 6: Final answer
    x = 5,958.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.