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Finding the Fourth Proportional to 11,355.52, 17,010.24 and 5,872

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Solution

The fourth proportional to 11,355.52, 17,010.24 and 5,872 is: 8,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.52 : 17,010.24 = 5,872 : x
  2. Step 2: Convert to fraction form
    11,355.52/17,010.24 = 5,872/x
  3. Step 3: Cross multiply
    11,355.52x = 17,010.24 × 5,872
  4. Step 4: Simplify right side
    11,355.52x = 99,884,129.28
  5. Step 5: Solve for x
    x = 99,884,129.28/11,355.52
  6. Step 6: Final answer
    x = 8,796.09

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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.