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Finding the Fourth Proportional to 8,221.38, 12,321.69 and 5,258.70

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Solution

The fourth proportional to 8,221.38, 12,321.69 and 5,258.70 is: 7,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.38 : 12,321.69 = 5,258.70 : x
  2. Step 2: Convert to fraction form
    8,221.38/12,321.69 = 5,258.70/x
  3. Step 3: Cross multiply
    8,221.38x = 12,321.69 × 5,258.70
  4. Step 4: Simplify right side
    8,221.38x = 64,796,071.20
  5. Step 5: Solve for x
    x = 64,796,071.20/8,221.38
  6. Step 6: Final answer
    x = 7,881.41

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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.