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Finding the Fourth Proportional to 8,152.74, 12,221.91 and 3,533.22

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Solution

The fourth proportional to 8,152.74, 12,221.91 and 3,533.22 is: 5,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.74 : 12,221.91 = 3,533.22 : x
  2. Step 2: Convert to fraction form
    8,152.74/12,221.91 = 3,533.22/x
  3. Step 3: Cross multiply
    8,152.74x = 12,221.91 × 3,533.22
  4. Step 4: Simplify right side
    8,152.74x = 43,182,696.85
  5. Step 5: Solve for x
    x = 43,182,696.85/8,152.74
  6. Step 6: Final answer
    x = 5,296.71

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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.