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Finding the Fourth Proportional to 11,288.70, 15,608.12 and 9,887.42

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Solution

The fourth proportional to 11,288.70, 15,608.12 and 9,887.42 is: 13,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.70 : 15,608.12 = 9,887.42 : x
  2. Step 2: Convert to fraction form
    11,288.70/15,608.12 = 9,887.42/x
  3. Step 3: Cross multiply
    11,288.70x = 15,608.12 × 9,887.42
  4. Step 4: Simplify right side
    11,288.70x = 154,324,037.85
  5. Step 5: Solve for x
    x = 154,324,037.85/11,288.70
  6. Step 6: Final answer
    x = 13,670.67

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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.