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Finding the Fourth Proportional to 10,451.91, 14,423.89 and 5,976.08

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Solution

The fourth proportional to 10,451.91, 14,423.89 and 5,976.08 is: 8,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.91 : 14,423.89 = 5,976.08 : x
  2. Step 2: Convert to fraction form
    10,451.91/14,423.89 = 5,976.08/x
  3. Step 3: Cross multiply
    10,451.91x = 14,423.89 × 5,976.08
  4. Step 4: Simplify right side
    10,451.91x = 86,198,379.92
  5. Step 5: Solve for x
    x = 86,198,379.92/10,451.91
  6. Step 6: Final answer
    x = 8,247.14

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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.