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Finding the Fourth Proportional to 11,077.16, 16,618.16 and 3,682.67

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Solution

The fourth proportional to 11,077.16, 16,618.16 and 3,682.67 is: 5,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.16 : 16,618.16 = 3,682.67 : x
  2. Step 2: Convert to fraction form
    11,077.16/16,618.16 = 3,682.67/x
  3. Step 3: Cross multiply
    11,077.16x = 16,618.16 × 3,682.67
  4. Step 4: Simplify right side
    11,077.16x = 61,199,125.40
  5. Step 5: Solve for x
    x = 61,199,125.40/11,077.16
  6. Step 6: Final answer
    x = 5,524.81

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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.