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Finding the Fourth Proportional to 10,311.54, 14,229.97 and 5,595.82

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Solution

The fourth proportional to 10,311.54, 14,229.97 and 5,595.82 is: 7,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.54 : 14,229.97 = 5,595.82 : x
  2. Step 2: Convert to fraction form
    10,311.54/14,229.97 = 5,595.82/x
  3. Step 3: Cross multiply
    10,311.54x = 14,229.97 × 5,595.82
  4. Step 4: Simplify right side
    10,311.54x = 79,628,301.16
  5. Step 5: Solve for x
    x = 79,628,301.16/10,311.54
  6. Step 6: Final answer
    x = 7,722.25

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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.