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Finding the Fourth Proportional to 11,578.05, 17,364.34 and 5,334.16

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Solution

The fourth proportional to 11,578.05, 17,364.34 and 5,334.16 is: 7,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.05 : 17,364.34 = 5,334.16 : x
  2. Step 2: Convert to fraction form
    11,578.05/17,364.34 = 5,334.16/x
  3. Step 3: Cross multiply
    11,578.05x = 17,364.34 × 5,334.16
  4. Step 4: Simplify right side
    11,578.05x = 92,624,167.85
  5. Step 5: Solve for x
    x = 92,624,167.85/11,578.05
  6. Step 6: Final answer
    x = 7,999.98

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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.