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Finding the Fourth Proportional to 11,719.70, 16,168.56 and 7,235.67

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Solution

The fourth proportional to 11,719.70, 16,168.56 and 7,235.67 is: 9,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.70 : 16,168.56 = 7,235.67 : x
  2. Step 2: Convert to fraction form
    11,719.70/16,168.56 = 7,235.67/x
  3. Step 3: Cross multiply
    11,719.70x = 16,168.56 × 7,235.67
  4. Step 4: Simplify right side
    11,719.70x = 116,990,364.54
  5. Step 5: Solve for x
    x = 116,990,364.54/11,719.70
  6. Step 6: Final answer
    x = 9,982.37

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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.