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Finding the Fourth Proportional to 10,311.57, 14,229.89 and 5,595.86

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Solution

The fourth proportional to 10,311.57, 14,229.89 and 5,595.86 is: 7,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.57 : 14,229.89 = 5,595.86 : x
  2. Step 2: Convert to fraction form
    10,311.57/14,229.89 = 5,595.86/x
  3. Step 3: Cross multiply
    10,311.57x = 14,229.89 × 5,595.86
  4. Step 4: Simplify right side
    10,311.57x = 79,628,394.11
  5. Step 5: Solve for x
    x = 79,628,394.11/10,311.57
  6. Step 6: Final answer
    x = 7,722.23

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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.