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Finding the Fourth Proportional to 10,296.92, 14,209.20 and 5,820.41

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Solution

The fourth proportional to 10,296.92, 14,209.20 and 5,820.41 is: 8,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.92 : 14,209.20 = 5,820.41 : x
  2. Step 2: Convert to fraction form
    10,296.92/14,209.20 = 5,820.41/x
  3. Step 3: Cross multiply
    10,296.92x = 14,209.20 × 5,820.41
  4. Step 4: Simplify right side
    10,296.92x = 82,703,309.00
  5. Step 5: Solve for x
    x = 82,703,309.00/10,296.92
  6. Step 6: Final answer
    x = 8,031.85

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