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Finding the Fourth Proportional to 11,767.70, 16,239.87 and 6,462.74

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Solution

The fourth proportional to 11,767.70, 16,239.87 and 6,462.74 is: 8,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.70 : 16,239.87 = 6,462.74 : x
  2. Step 2: Convert to fraction form
    11,767.70/16,239.87 = 6,462.74/x
  3. Step 3: Cross multiply
    11,767.70x = 16,239.87 × 6,462.74
  4. Step 4: Simplify right side
    11,767.70x = 104,953,976.24
  5. Step 5: Solve for x
    x = 104,953,976.24/11,767.70
  6. Step 6: Final answer
    x = 8,918.82

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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.