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Finding the Fourth Proportional to 10,836.72, 14,954.22 and 6,121.17

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Solution

The fourth proportional to 10,836.72, 14,954.22 and 6,121.17 is: 8,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.72 : 14,954.22 = 6,121.17 : x
  2. Step 2: Convert to fraction form
    10,836.72/14,954.22 = 6,121.17/x
  3. Step 3: Cross multiply
    10,836.72x = 14,954.22 × 6,121.17
  4. Step 4: Simplify right side
    10,836.72x = 91,537,322.84
  5. Step 5: Solve for x
    x = 91,537,322.84/10,836.72
  6. Step 6: Final answer
    x = 8,446.96

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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.