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Finding the Fourth Proportional to 11,505.25, 17,261.93 and 5,665.96

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Solution

The fourth proportional to 11,505.25, 17,261.93 and 5,665.96 is: 8,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.25 : 17,261.93 = 5,665.96 : x
  2. Step 2: Convert to fraction form
    11,505.25/17,261.93 = 5,665.96/x
  3. Step 3: Cross multiply
    11,505.25x = 17,261.93 × 5,665.96
  4. Step 4: Simplify right side
    11,505.25x = 97,805,404.90
  5. Step 5: Solve for x
    x = 97,805,404.90/11,505.25
  6. Step 6: Final answer
    x = 8,500.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.