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Finding the Fourth Proportional to 10,731.66, 16,108.41 and 7,400.13

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Solution

The fourth proportional to 10,731.66, 16,108.41 and 7,400.13 is: 11,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.66 : 16,108.41 = 7,400.13 : x
  2. Step 2: Convert to fraction form
    10,731.66/16,108.41 = 7,400.13/x
  3. Step 3: Cross multiply
    10,731.66x = 16,108.41 × 7,400.13
  4. Step 4: Simplify right side
    10,731.66x = 119,204,328.09
  5. Step 5: Solve for x
    x = 119,204,328.09/10,731.66
  6. Step 6: Final answer
    x = 11,107.73

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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.