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Finding the Fourth Proportional to 8,312.21, 12,469.83 and 5,021.38

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Solution

The fourth proportional to 8,312.21, 12,469.83 and 5,021.38 is: 7,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.21 : 12,469.83 = 5,021.38 : x
  2. Step 2: Convert to fraction form
    8,312.21/12,469.83 = 5,021.38/x
  3. Step 3: Cross multiply
    8,312.21x = 12,469.83 × 5,021.38
  4. Step 4: Simplify right side
    8,312.21x = 62,615,754.97
  5. Step 5: Solve for x
    x = 62,615,754.97/8,312.21
  6. Step 6: Final answer
    x = 7,532.99

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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.