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Finding the Fourth Proportional to 7,116.19, 10,668.11 and 3,825.43

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Solution

The fourth proportional to 7,116.19, 10,668.11 and 3,825.43 is: 5,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.19 : 10,668.11 = 3,825.43 : x
  2. Step 2: Convert to fraction form
    7,116.19/10,668.11 = 3,825.43/x
  3. Step 3: Cross multiply
    7,116.19x = 10,668.11 × 3,825.43
  4. Step 4: Simplify right side
    7,116.19x = 40,810,062.24
  5. Step 5: Solve for x
    x = 40,810,062.24/7,116.19
  6. Step 6: Final answer
    x = 5,734.82

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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.