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Finding the Fourth Proportional to 10,825.52, 14,949.63 and 8,442.09

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Solution

The fourth proportional to 10,825.52, 14,949.63 and 8,442.09 is: 11,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.52 : 14,949.63 = 8,442.09 : x
  2. Step 2: Convert to fraction form
    10,825.52/14,949.63 = 8,442.09/x
  3. Step 3: Cross multiply
    10,825.52x = 14,949.63 × 8,442.09
  4. Step 4: Simplify right side
    10,825.52x = 126,206,121.93
  5. Step 5: Solve for x
    x = 126,206,121.93/10,825.52
  6. Step 6: Final answer
    x = 11,658.21

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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.