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Finding the Fourth Proportional to 11,176.75, 16,768.02 and 5,252.54

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Solution

The fourth proportional to 11,176.75, 16,768.02 and 5,252.54 is: 7,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.75 : 16,768.02 = 5,252.54 : x
  2. Step 2: Convert to fraction form
    11,176.75/16,768.02 = 5,252.54/x
  3. Step 3: Cross multiply
    11,176.75x = 16,768.02 × 5,252.54
  4. Step 4: Simplify right side
    11,176.75x = 88,074,695.77
  5. Step 5: Solve for x
    x = 88,074,695.77/11,176.75
  6. Step 6: Final answer
    x = 7,880.17

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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.