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Finding the Fourth Proportional to 11,687.77, 16,129.03 and 6,382.59

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Solution

The fourth proportional to 11,687.77, 16,129.03 and 6,382.59 is: 8,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.77 : 16,129.03 = 6,382.59 : x
  2. Step 2: Convert to fraction form
    11,687.77/16,129.03 = 6,382.59/x
  3. Step 3: Cross multiply
    11,687.77x = 16,129.03 × 6,382.59
  4. Step 4: Simplify right side
    11,687.77x = 102,944,985.59
  5. Step 5: Solve for x
    x = 102,944,985.59/11,687.77
  6. Step 6: Final answer
    x = 8,807.92

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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.