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Finding the Fourth Proportional to 11,659.84, 16,093.07 and 7,681.30

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Solution

The fourth proportional to 11,659.84, 16,093.07 and 7,681.30 is: 10,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.84 : 16,093.07 = 7,681.30 : x
  2. Step 2: Convert to fraction form
    11,659.84/16,093.07 = 7,681.30/x
  3. Step 3: Cross multiply
    11,659.84x = 16,093.07 × 7,681.30
  4. Step 4: Simplify right side
    11,659.84x = 123,615,698.59
  5. Step 5: Solve for x
    x = 123,615,698.59/11,659.84
  6. Step 6: Final answer
    x = 10,601.83

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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.