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Finding the Fourth Proportional to 10,311.95, 14,230.41 and 5,596.23

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Solution

The fourth proportional to 10,311.95, 14,230.41 and 5,596.23 is: 7,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.95 : 14,230.41 = 5,596.23 : x
  2. Step 2: Convert to fraction form
    10,311.95/14,230.41 = 5,596.23/x
  3. Step 3: Cross multiply
    10,311.95x = 14,230.41 × 5,596.23
  4. Step 4: Simplify right side
    10,311.95x = 79,636,626.37
  5. Step 5: Solve for x
    x = 79,636,626.37/10,311.95
  6. Step 6: Final answer
    x = 7,722.75

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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.