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Finding the Fourth Proportional to 11,767.08, 16,238.52 and 6,462

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Solution

The fourth proportional to 11,767.08, 16,238.52 and 6,462 is: 8,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.08 : 16,238.52 = 6,462 : x
  2. Step 2: Convert to fraction form
    11,767.08/16,238.52 = 6,462/x
  3. Step 3: Cross multiply
    11,767.08x = 16,238.52 × 6,462
  4. Step 4: Simplify right side
    11,767.08x = 104,933,316.24
  5. Step 5: Solve for x
    x = 104,933,316.24/11,767.08
  6. Step 6: Final answer
    x = 8,917.53

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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.