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Finding the Fourth Proportional to 11,327.96, 17,005.98 and 6,401.54

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Solution

The fourth proportional to 11,327.96, 17,005.98 and 6,401.54 is: 9,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.96 : 17,005.98 = 6,401.54 : x
  2. Step 2: Convert to fraction form
    11,327.96/17,005.98 = 6,401.54/x
  3. Step 3: Cross multiply
    11,327.96x = 17,005.98 × 6,401.54
  4. Step 4: Simplify right side
    11,327.96x = 108,864,461.21
  5. Step 5: Solve for x
    x = 108,864,461.21/11,327.96
  6. Step 6: Final answer
    x = 9,610.24

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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.