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Finding the Fourth Proportional to 10,644.44, 14,691.78 and 6,170.67

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Solution

The fourth proportional to 10,644.44, 14,691.78 and 6,170.67 is: 8,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.44 : 14,691.78 = 6,170.67 : x
  2. Step 2: Convert to fraction form
    10,644.44/14,691.78 = 6,170.67/x
  3. Step 3: Cross multiply
    10,644.44x = 14,691.78 × 6,170.67
  4. Step 4: Simplify right side
    10,644.44x = 90,658,126.09
  5. Step 5: Solve for x
    x = 90,658,126.09/10,644.44
  6. Step 6: Final answer
    x = 8,516.95

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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.