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Finding the Fourth Proportional to 11,354.25, 17,024.00 and 5,427.93

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Solution

The fourth proportional to 11,354.25, 17,024.00 and 5,427.93 is: 8,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.25 : 17,024.00 = 5,427.93 : x
  2. Step 2: Convert to fraction form
    11,354.25/17,024.00 = 5,427.93/x
  3. Step 3: Cross multiply
    11,354.25x = 17,024.00 × 5,427.93
  4. Step 4: Simplify right side
    11,354.25x = 92,405,053.18
  5. Step 5: Solve for x
    x = 92,405,053.18/11,354.25
  6. Step 6: Final answer
    x = 8,138.37

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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.