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Finding the Fourth Proportional to 10,156.92, 14,001.84 and 7,794.96

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Solution

The fourth proportional to 10,156.92, 14,001.84 and 7,794.96 is: 10,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.92 : 14,001.84 = 7,794.96 : x
  2. Step 2: Convert to fraction form
    10,156.92/14,001.84 = 7,794.96/x
  3. Step 3: Cross multiply
    10,156.92x = 14,001.84 × 7,794.96
  4. Step 4: Simplify right side
    10,156.92x = 109,143,782.73
  5. Step 5: Solve for x
    x = 109,143,782.73/10,156.92
  6. Step 6: Final answer
    x = 10,745.76

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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.