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Finding the Fourth Proportional to 11,623.16, 16,040.03 and 6,317.97

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Solution

The fourth proportional to 11,623.16, 16,040.03 and 6,317.97 is: 8,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.16 : 16,040.03 = 6,317.97 : x
  2. Step 2: Convert to fraction form
    11,623.16/16,040.03 = 6,317.97/x
  3. Step 3: Cross multiply
    11,623.16x = 16,040.03 × 6,317.97
  4. Step 4: Simplify right side
    11,623.16x = 101,340,396.75
  5. Step 5: Solve for x
    x = 101,340,396.75/11,623.16
  6. Step 6: Final answer
    x = 8,718.84

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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.