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Finding the Fourth Proportional to 10,906.46, 16,357.61 and 3,007.02

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Solution

The fourth proportional to 10,906.46, 16,357.61 and 3,007.02 is: 4,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.46 : 16,357.61 = 3,007.02 : x
  2. Step 2: Convert to fraction form
    10,906.46/16,357.61 = 3,007.02/x
  3. Step 3: Cross multiply
    10,906.46x = 16,357.61 × 3,007.02
  4. Step 4: Simplify right side
    10,906.46x = 49,187,660.42
  5. Step 5: Solve for x
    x = 49,187,660.42/10,906.46
  6. Step 6: Final answer
    x = 4,509.96

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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.