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Finding the Fourth Proportional to 8,563.32, 11,824.38 and 6,327.72

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Solution

The fourth proportional to 8,563.32, 11,824.38 and 6,327.72 is: 8,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.32 : 11,824.38 = 6,327.72 : x
  2. Step 2: Convert to fraction form
    8,563.32/11,824.38 = 6,327.72/x
  3. Step 3: Cross multiply
    8,563.32x = 11,824.38 × 6,327.72
  4. Step 4: Simplify right side
    8,563.32x = 74,821,365.81
  5. Step 5: Solve for x
    x = 74,821,365.81/8,563.32
  6. Step 6: Final answer
    x = 8,737.42

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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.