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Finding the Fourth Proportional to 11,147.14, 16,719.33 and 6,469.69

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Solution

The fourth proportional to 11,147.14, 16,719.33 and 6,469.69 is: 9,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.14 : 16,719.33 = 6,469.69 : x
  2. Step 2: Convert to fraction form
    11,147.14/16,719.33 = 6,469.69/x
  3. Step 3: Cross multiply
    11,147.14x = 16,719.33 × 6,469.69
  4. Step 4: Simplify right side
    11,147.14x = 108,168,856.48
  5. Step 5: Solve for x
    x = 108,168,856.48/11,147.14
  6. Step 6: Final answer
    x = 9,703.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.