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Finding the Fourth Proportional to 10,827.74, 16,234.41 and 3,901.34

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Solution

The fourth proportional to 10,827.74, 16,234.41 and 3,901.34 is: 5,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.74 : 16,234.41 = 3,901.34 : x
  2. Step 2: Convert to fraction form
    10,827.74/16,234.41 = 3,901.34/x
  3. Step 3: Cross multiply
    10,827.74x = 16,234.41 × 3,901.34
  4. Step 4: Simplify right side
    10,827.74x = 63,335,953.11
  5. Step 5: Solve for x
    x = 63,335,953.11/10,827.74
  6. Step 6: Final answer
    x = 5,849.42

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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.