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Finding the Fourth Proportional to 11,211.14, 15,472.15 and 7,427.77

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Solution

The fourth proportional to 11,211.14, 15,472.15 and 7,427.77 is: 10,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.14 : 15,472.15 = 7,427.77 : x
  2. Step 2: Convert to fraction form
    11,211.14/15,472.15 = 7,427.77/x
  3. Step 3: Cross multiply
    11,211.14x = 15,472.15 × 7,427.77
  4. Step 4: Simplify right side
    11,211.14x = 114,923,514.36
  5. Step 5: Solve for x
    x = 114,923,514.36/11,211.14
  6. Step 6: Final answer
    x = 10,250.83

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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.