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Finding the Fourth Proportional to 10,196.46, 14,071.12 and 5,950.44

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Solution

The fourth proportional to 10,196.46, 14,071.12 and 5,950.44 is: 8,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.46 : 14,071.12 = 5,950.44 : x
  2. Step 2: Convert to fraction form
    10,196.46/14,071.12 = 5,950.44/x
  3. Step 3: Cross multiply
    10,196.46x = 14,071.12 × 5,950.44
  4. Step 4: Simplify right side
    10,196.46x = 83,729,355.29
  5. Step 5: Solve for x
    x = 83,729,355.29/10,196.46
  6. Step 6: Final answer
    x = 8,211.61

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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.