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Finding the Fourth Proportional to 10,234.69, 14,122.82 and 5,758.36

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Solution

The fourth proportional to 10,234.69, 14,122.82 and 5,758.36 is: 7,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.69 : 14,122.82 = 5,758.36 : x
  2. Step 2: Convert to fraction form
    10,234.69/14,122.82 = 5,758.36/x
  3. Step 3: Cross multiply
    10,234.69x = 14,122.82 × 5,758.36
  4. Step 4: Simplify right side
    10,234.69x = 81,324,260.86
  5. Step 5: Solve for x
    x = 81,324,260.86/10,234.69
  6. Step 6: Final answer
    x = 7,945.94

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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.