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Finding the Fourth Proportional to 10,673.62, 14,728.17 and 5,957.80

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Solution

The fourth proportional to 10,673.62, 14,728.17 and 5,957.80 is: 8,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.62 : 14,728.17 = 5,957.80 : x
  2. Step 2: Convert to fraction form
    10,673.62/14,728.17 = 5,957.80/x
  3. Step 3: Cross multiply
    10,673.62x = 14,728.17 × 5,957.80
  4. Step 4: Simplify right side
    10,673.62x = 87,747,491.23
  5. Step 5: Solve for x
    x = 87,747,491.23/10,673.62
  6. Step 6: Final answer
    x = 8,220.97

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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.