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Finding the Fourth Proportional to 11,311.80, 15,611.23 and 6,277.07

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Solution

The fourth proportional to 11,311.80, 15,611.23 and 6,277.07 is: 8,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.80 : 15,611.23 = 6,277.07 : x
  2. Step 2: Convert to fraction form
    11,311.80/15,611.23 = 6,277.07/x
  3. Step 3: Cross multiply
    11,311.80x = 15,611.23 × 6,277.07
  4. Step 4: Simplify right side
    11,311.80x = 97,992,786.46
  5. Step 5: Solve for x
    x = 97,992,786.46/11,311.80
  6. Step 6: Final answer
    x = 8,662.88

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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.