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Finding the Fourth Proportional to 8,843.56, 12,202.74 and 5,704

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Solution

The fourth proportional to 8,843.56, 12,202.74 and 5,704 is: 7,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.56 : 12,202.74 = 5,704 : x
  2. Step 2: Convert to fraction form
    8,843.56/12,202.74 = 5,704/x
  3. Step 3: Cross multiply
    8,843.56x = 12,202.74 × 5,704
  4. Step 4: Simplify right side
    8,843.56x = 69,604,428.96
  5. Step 5: Solve for x
    x = 69,604,428.96/8,843.56
  6. Step 6: Final answer
    x = 7,870.63

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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.