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Finding the Fourth Proportional to 10,964.80, 15,131.46 and 6,249.16

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Solution

The fourth proportional to 10,964.80, 15,131.46 and 6,249.16 is: 8,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.80 : 15,131.46 = 6,249.16 : x
  2. Step 2: Convert to fraction form
    10,964.80/15,131.46 = 6,249.16/x
  3. Step 3: Cross multiply
    10,964.80x = 15,131.46 × 6,249.16
  4. Step 4: Simplify right side
    10,964.80x = 94,558,914.57
  5. Step 5: Solve for x
    x = 94,558,914.57/10,964.80
  6. Step 6: Final answer
    x = 8,623.86

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