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Finding the Fourth Proportional to 8,200.32, 11,321.04 and 5,410.68

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Solution

The fourth proportional to 8,200.32, 11,321.04 and 5,410.68 is: 7,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.32 : 11,321.04 = 5,410.68 : x
  2. Step 2: Convert to fraction form
    8,200.32/11,321.04 = 5,410.68/x
  3. Step 3: Cross multiply
    8,200.32x = 11,321.04 × 5,410.68
  4. Step 4: Simplify right side
    8,200.32x = 61,254,524.71
  5. Step 5: Solve for x
    x = 61,254,524.71/8,200.32
  6. Step 6: Final answer
    x = 7,469.77

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