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Finding the Fourth Proportional to 11,623.57, 16,040.50 and 6,318.41

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Solution

The fourth proportional to 11,623.57, 16,040.50 and 6,318.41 is: 8,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.57 : 16,040.50 = 6,318.41 : x
  2. Step 2: Convert to fraction form
    11,623.57/16,040.50 = 6,318.41/x
  3. Step 3: Cross multiply
    11,623.57x = 16,040.50 × 6,318.41
  4. Step 4: Simplify right side
    11,623.57x = 101,350,359.61
  5. Step 5: Solve for x
    x = 101,350,359.61/11,623.57
  6. Step 6: Final answer
    x = 8,719.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.