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Finding the Fourth Proportional to 11,166.34, 16,737.74 and 3,768.20

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Solution

The fourth proportional to 11,166.34, 16,737.74 and 3,768.20 is: 5,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.34 : 16,737.74 = 3,768.20 : x
  2. Step 2: Convert to fraction form
    11,166.34/16,737.74 = 3,768.20/x
  3. Step 3: Cross multiply
    11,166.34x = 16,737.74 × 3,768.20
  4. Step 4: Simplify right side
    11,166.34x = 63,071,151.87
  5. Step 5: Solve for x
    x = 63,071,151.87/11,166.34
  6. Step 6: Final answer
    x = 5,648.33

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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.