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Finding the Fourth Proportional to 10,905.69, 16,359.14 and 3,509.61

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Solution

The fourth proportional to 10,905.69, 16,359.14 and 3,509.61 is: 5,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.69 : 16,359.14 = 3,509.61 : x
  2. Step 2: Convert to fraction form
    10,905.69/16,359.14 = 3,509.61/x
  3. Step 3: Cross multiply
    10,905.69x = 16,359.14 × 3,509.61
  4. Step 4: Simplify right side
    10,905.69x = 57,414,183.79
  5. Step 5: Solve for x
    x = 57,414,183.79/10,905.69
  6. Step 6: Final answer
    x = 5,264.61

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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.