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Finding the Fourth Proportional to 11,659.59, 16,092.72 and 7,681.05

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Solution

The fourth proportional to 11,659.59, 16,092.72 and 7,681.05 is: 10,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.59 : 16,092.72 = 7,681.05 : x
  2. Step 2: Convert to fraction form
    11,659.59/16,092.72 = 7,681.05/x
  3. Step 3: Cross multiply
    11,659.59x = 16,092.72 × 7,681.05
  4. Step 4: Simplify right side
    11,659.59x = 123,608,986.96
  5. Step 5: Solve for x
    x = 123,608,986.96/11,659.59
  6. Step 6: Final answer
    x = 10,601.49

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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.