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Finding the Fourth Proportional to 8,150.36, 12,202.34 and 5,368.64

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Solution

The fourth proportional to 8,150.36, 12,202.34 and 5,368.64 is: 8,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.36 : 12,202.34 = 5,368.64 : x
  2. Step 2: Convert to fraction form
    8,150.36/12,202.34 = 5,368.64/x
  3. Step 3: Cross multiply
    8,150.36x = 12,202.34 × 5,368.64
  4. Step 4: Simplify right side
    8,150.36x = 65,509,970.62
  5. Step 5: Solve for x
    x = 65,509,970.62/8,150.36
  6. Step 6: Final answer
    x = 8,037.68

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