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Finding the Fourth Proportional to 11,767.80, 16,239.06 and 6,462.30

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Solution

The fourth proportional to 11,767.80, 16,239.06 and 6,462.30 is: 8,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.80 : 16,239.06 = 6,462.30 : x
  2. Step 2: Convert to fraction form
    11,767.80/16,239.06 = 6,462.30/x
  3. Step 3: Cross multiply
    11,767.80x = 16,239.06 × 6,462.30
  4. Step 4: Simplify right side
    11,767.80x = 104,941,677.44
  5. Step 5: Solve for x
    x = 104,941,677.44/11,767.80
  6. Step 6: Final answer
    x = 8,917.70

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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.