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Finding the Fourth Proportional to 10,194.75, 14,069.20 and 5,718.92

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Solution

The fourth proportional to 10,194.75, 14,069.20 and 5,718.92 is: 7,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.75 : 14,069.20 = 5,718.92 : x
  2. Step 2: Convert to fraction form
    10,194.75/14,069.20 = 5,718.92/x
  3. Step 3: Cross multiply
    10,194.75x = 14,069.20 × 5,718.92
  4. Step 4: Simplify right side
    10,194.75x = 80,460,629.26
  5. Step 5: Solve for x
    x = 80,460,629.26/10,194.75
  6. Step 6: Final answer
    x = 7,892.36

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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.