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Finding the Fourth Proportional to 10,772.66, 16,147.46 and 5,218.38

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Solution

The fourth proportional to 10,772.66, 16,147.46 and 5,218.38 is: 7,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.66 : 16,147.46 = 5,218.38 : x
  2. Step 2: Convert to fraction form
    10,772.66/16,147.46 = 5,218.38/x
  3. Step 3: Cross multiply
    10,772.66x = 16,147.46 × 5,218.38
  4. Step 4: Simplify right side
    10,772.66x = 84,263,582.31
  5. Step 5: Solve for x
    x = 84,263,582.31/10,772.66
  6. Step 6: Final answer
    x = 7,821.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.