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Finding the Fourth Proportional to 11,709.88, 16,154.22 and 6,739

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Solution

The fourth proportional to 11,709.88, 16,154.22 and 6,739 is: 9,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.88 : 16,154.22 = 6,739 : x
  2. Step 2: Convert to fraction form
    11,709.88/16,154.22 = 6,739/x
  3. Step 3: Cross multiply
    11,709.88x = 16,154.22 × 6,739
  4. Step 4: Simplify right side
    11,709.88x = 108,863,288.58
  5. Step 5: Solve for x
    x = 108,863,288.58/11,709.88
  6. Step 6: Final answer
    x = 9,296.70

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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.