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Finding the Fourth Proportional to 11,932.77, 16,461.81 and 7,682.31

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Solution

The fourth proportional to 11,932.77, 16,461.81 and 7,682.31 is: 10,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.77 : 16,461.81 = 7,682.31 : x
  2. Step 2: Convert to fraction form
    11,932.77/16,461.81 = 7,682.31/x
  3. Step 3: Cross multiply
    11,932.77x = 16,461.81 × 7,682.31
  4. Step 4: Simplify right side
    11,932.77x = 126,464,727.58
  5. Step 5: Solve for x
    x = 126,464,727.58/11,932.77
  6. Step 6: Final answer
    x = 10,598.10

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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.