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Finding the Fourth Proportional to 6,789.96, 10,188 and 4,324.14

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Solution

The fourth proportional to 6,789.96, 10,188 and 4,324.14 is: 6,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.96 : 10,188 = 4,324.14 : x
  2. Step 2: Convert to fraction form
    6,789.96/10,188 = 4,324.14/x
  3. Step 3: Cross multiply
    6,789.96x = 10,188 × 4,324.14
  4. Step 4: Simplify right side
    6,789.96x = 44,054,338.32
  5. Step 5: Solve for x
    x = 44,054,338.32/6,789.96
  6. Step 6: Final answer
    x = 6,488.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.