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Finding the Fourth Proportional to 7,814.43, 10,769.69 and 6,172.16

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Solution

The fourth proportional to 7,814.43, 10,769.69 and 6,172.16 is: 8,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.43 : 10,769.69 = 6,172.16 : x
  2. Step 2: Convert to fraction form
    7,814.43/10,769.69 = 6,172.16/x
  3. Step 3: Cross multiply
    7,814.43x = 10,769.69 × 6,172.16
  4. Step 4: Simplify right side
    7,814.43x = 66,472,211.41
  5. Step 5: Solve for x
    x = 66,472,211.41/7,814.43
  6. Step 6: Final answer
    x = 8,506.34

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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.