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Finding the Fourth Proportional to 11,594.52, 17,401.00 and 4,201.09

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Solution

The fourth proportional to 11,594.52, 17,401.00 and 4,201.09 is: 6,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.52 : 17,401.00 = 4,201.09 : x
  2. Step 2: Convert to fraction form
    11,594.52/17,401.00 = 4,201.09/x
  3. Step 3: Cross multiply
    11,594.52x = 17,401.00 × 4,201.09
  4. Step 4: Simplify right side
    11,594.52x = 73,103,181.72
  5. Step 5: Solve for x
    x = 73,103,181.72/11,594.52
  6. Step 6: Final answer
    x = 6,304.98

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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.