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Finding the Fourth Proportional to 11,686.77, 16,127.61 and 7,208.73

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Solution

The fourth proportional to 11,686.77, 16,127.61 and 7,208.73 is: 9,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.77 : 16,127.61 = 7,208.73 : x
  2. Step 2: Convert to fraction form
    11,686.77/16,127.61 = 7,208.73/x
  3. Step 3: Cross multiply
    11,686.77x = 16,127.61 × 7,208.73
  4. Step 4: Simplify right side
    11,686.77x = 116,259,586.04
  5. Step 5: Solve for x
    x = 116,259,586.04/11,686.77
  6. Step 6: Final answer
    x = 9,947.97

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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.