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Finding the Fourth Proportional to 10,798.49, 16,188.12 and 4,229.26

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Solution

The fourth proportional to 10,798.49, 16,188.12 and 4,229.26 is: 6,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.49 : 16,188.12 = 4,229.26 : x
  2. Step 2: Convert to fraction form
    10,798.49/16,188.12 = 4,229.26/x
  3. Step 3: Cross multiply
    10,798.49x = 16,188.12 × 4,229.26
  4. Step 4: Simplify right side
    10,798.49x = 68,463,727.92
  5. Step 5: Solve for x
    x = 68,463,727.92/10,798.49
  6. Step 6: Final answer
    x = 6,340.12

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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.