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Finding the Fourth Proportional to 7,568.73, 10,444.68 and 4,211.42

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Solution

The fourth proportional to 7,568.73, 10,444.68 and 4,211.42 is: 5,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.73 : 10,444.68 = 4,211.42 : x
  2. Step 2: Convert to fraction form
    7,568.73/10,444.68 = 4,211.42/x
  3. Step 3: Cross multiply
    7,568.73x = 10,444.68 × 4,211.42
  4. Step 4: Simplify right side
    7,568.73x = 43,986,882.02
  5. Step 5: Solve for x
    x = 43,986,882.02/7,568.73
  6. Step 6: Final answer
    x = 5,811.66

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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.