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Finding the Fourth Proportional to 10,798.81, 16,194.10 and 4,224.14

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Solution

The fourth proportional to 10,798.81, 16,194.10 and 4,224.14 is: 6,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.81 : 16,194.10 = 4,224.14 : x
  2. Step 2: Convert to fraction form
    10,798.81/16,194.10 = 4,224.14/x
  3. Step 3: Cross multiply
    10,798.81x = 16,194.10 × 4,224.14
  4. Step 4: Simplify right side
    10,798.81x = 68,406,145.57
  5. Step 5: Solve for x
    x = 68,406,145.57/10,798.81
  6. Step 6: Final answer
    x = 6,334.60

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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.