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Finding the Fourth Proportional to 10,311.86, 14,230.38 and 5,596.22

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Solution

The fourth proportional to 10,311.86, 14,230.38 and 5,596.22 is: 7,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.86 : 14,230.38 = 5,596.22 : x
  2. Step 2: Convert to fraction form
    10,311.86/14,230.38 = 5,596.22/x
  3. Step 3: Cross multiply
    10,311.86x = 14,230.38 × 5,596.22
  4. Step 4: Simplify right side
    10,311.86x = 79,636,337.16
  5. Step 5: Solve for x
    x = 79,636,337.16/10,311.86
  6. Step 6: Final answer
    x = 7,722.79

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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.