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Finding the Fourth Proportional to 8,343, 11,508.03 and 5,824.19

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Solution

The fourth proportional to 8,343, 11,508.03 and 5,824.19 is: 8,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 11,508.03 = 5,824.19 : x
  2. Step 2: Convert to fraction form
    8,343/11,508.03 = 5,824.19/x
  3. Step 3: Cross multiply
    8,343x = 11,508.03 × 5,824.19
  4. Step 4: Simplify right side
    8,343x = 67,024,982.02
  5. Step 5: Solve for x
    x = 67,024,982.02/8,343
  6. Step 6: Final answer
    x = 8,033.68

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Why These Related Problems?

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