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Finding the Fourth Proportional to 10,309.92, 14,226.84 and 5,834.22

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Solution

The fourth proportional to 10,309.92, 14,226.84 and 5,834.22 is: 8,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.92 : 14,226.84 = 5,834.22 : x
  2. Step 2: Convert to fraction form
    10,309.92/14,226.84 = 5,834.22/x
  3. Step 3: Cross multiply
    10,309.92x = 14,226.84 × 5,834.22
  4. Step 4: Simplify right side
    10,309.92x = 83,002,514.46
  5. Step 5: Solve for x
    x = 83,002,514.46/10,309.92
  6. Step 6: Final answer
    x = 8,050.74

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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.