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Finding the Fourth Proportional to 11,590.82, 15,997.60 and 7,611.83

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Solution

The fourth proportional to 11,590.82, 15,997.60 and 7,611.83 is: 10,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.82 : 15,997.60 = 7,611.83 : x
  2. Step 2: Convert to fraction form
    11,590.82/15,997.60 = 7,611.83/x
  3. Step 3: Cross multiply
    11,590.82x = 15,997.60 × 7,611.83
  4. Step 4: Simplify right side
    11,590.82x = 121,771,011.61
  5. Step 5: Solve for x
    x = 121,771,011.61/11,590.82
  6. Step 6: Final answer
    x = 10,505.82

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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.