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Finding the Fourth Proportional to 11,553.82, 17,330.64 and 6,004.30

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Solution

The fourth proportional to 11,553.82, 17,330.64 and 6,004.30 is: 9,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.82 : 17,330.64 = 6,004.30 : x
  2. Step 2: Convert to fraction form
    11,553.82/17,330.64 = 6,004.30/x
  3. Step 3: Cross multiply
    11,553.82x = 17,330.64 × 6,004.30
  4. Step 4: Simplify right side
    11,553.82x = 104,058,361.75
  5. Step 5: Solve for x
    x = 104,058,361.75/11,553.82
  6. Step 6: Final answer
    x = 9,006.40

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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.