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Finding the Fourth Proportional to 11,211.53, 15,472.22 and 6,176.30

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Solution

The fourth proportional to 11,211.53, 15,472.22 and 6,176.30 is: 8,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.53 : 15,472.22 = 6,176.30 : x
  2. Step 2: Convert to fraction form
    11,211.53/15,472.22 = 6,176.30/x
  3. Step 3: Cross multiply
    11,211.53x = 15,472.22 × 6,176.30
  4. Step 4: Simplify right side
    11,211.53x = 95,560,964.14
  5. Step 5: Solve for x
    x = 95,560,964.14/11,211.53
  6. Step 6: Final answer
    x = 8,523.46

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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.