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Finding the Fourth Proportional to 11,645.44, 16,071.21 and 6,609.67

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Solution

The fourth proportional to 11,645.44, 16,071.21 and 6,609.67 is: 9,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.44 : 16,071.21 = 6,609.67 : x
  2. Step 2: Convert to fraction form
    11,645.44/16,071.21 = 6,609.67/x
  3. Step 3: Cross multiply
    11,645.44x = 16,071.21 × 6,609.67
  4. Step 4: Simplify right side
    11,645.44x = 106,225,354.42
  5. Step 5: Solve for x
    x = 106,225,354.42/11,645.44
  6. Step 6: Final answer
    x = 9,121.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.