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Finding the Fourth Proportional to 10,665.27, 14,719.22 and 5,951.19

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Solution

The fourth proportional to 10,665.27, 14,719.22 and 5,951.19 is: 8,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.27 : 14,719.22 = 5,951.19 : x
  2. Step 2: Convert to fraction form
    10,665.27/14,719.22 = 5,951.19/x
  3. Step 3: Cross multiply
    10,665.27x = 14,719.22 × 5,951.19
  4. Step 4: Simplify right side
    10,665.27x = 87,596,874.87
  5. Step 5: Solve for x
    x = 87,596,874.87/10,665.27
  6. Step 6: Final answer
    x = 8,213.28

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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.