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Finding the Fourth Proportional to 10,311.75, 14,230.22 and 5,596.02

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Solution

The fourth proportional to 10,311.75, 14,230.22 and 5,596.02 is: 7,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.75 : 14,230.22 = 5,596.02 : x
  2. Step 2: Convert to fraction form
    10,311.75/14,230.22 = 5,596.02/x
  3. Step 3: Cross multiply
    10,311.75x = 14,230.22 × 5,596.02
  4. Step 4: Simplify right side
    10,311.75x = 79,632,567.74
  5. Step 5: Solve for x
    x = 79,632,567.74/10,311.75
  6. Step 6: Final answer
    x = 7,722.51

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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.