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Finding the Fourth Proportional to 10,694.86, 16,049.58 and 6,424.18

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Solution

The fourth proportional to 10,694.86, 16,049.58 and 6,424.18 is: 9,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.86 : 16,049.58 = 6,424.18 : x
  2. Step 2: Convert to fraction form
    10,694.86/16,049.58 = 6,424.18/x
  3. Step 3: Cross multiply
    10,694.86x = 16,049.58 × 6,424.18
  4. Step 4: Simplify right side
    10,694.86x = 103,105,390.84
  5. Step 5: Solve for x
    x = 103,105,390.84/10,694.86
  6. Step 6: Final answer
    x = 9,640.65

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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.