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Finding the Fourth Proportional to 7,123.74, 10,690.19 and 3,839.12

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Solution

The fourth proportional to 7,123.74, 10,690.19 and 3,839.12 is: 5,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.74 : 10,690.19 = 3,839.12 : x
  2. Step 2: Convert to fraction form
    7,123.74/10,690.19 = 3,839.12/x
  3. Step 3: Cross multiply
    7,123.74x = 10,690.19 × 3,839.12
  4. Step 4: Simplify right side
    7,123.74x = 41,040,922.23
  5. Step 5: Solve for x
    x = 41,040,922.23/7,123.74
  6. Step 6: Final answer
    x = 5,761.15

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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.