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Finding the Fourth Proportional to 11,311.42, 15,623.38 and 9,891.48

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Solution

The fourth proportional to 11,311.42, 15,623.38 and 9,891.48 is: 13,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.42 : 15,623.38 = 9,891.48 : x
  2. Step 2: Convert to fraction form
    11,311.42/15,623.38 = 9,891.48/x
  3. Step 3: Cross multiply
    11,311.42x = 15,623.38 × 9,891.48
  4. Step 4: Simplify right side
    11,311.42x = 154,538,350.80
  5. Step 5: Solve for x
    x = 154,538,350.80/11,311.42
  6. Step 6: Final answer
    x = 13,662.15

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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.