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Finding the Fourth Proportional to 7,568.82, 10,443.83 and 4,211.69

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Solution

The fourth proportional to 7,568.82, 10,443.83 and 4,211.69 is: 5,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.82 : 10,443.83 = 4,211.69 : x
  2. Step 2: Convert to fraction form
    7,568.82/10,443.83 = 4,211.69/x
  3. Step 3: Cross multiply
    7,568.82x = 10,443.83 × 4,211.69
  4. Step 4: Simplify right side
    7,568.82x = 43,986,101.10
  5. Step 5: Solve for x
    x = 43,986,101.10/7,568.82
  6. Step 6: Final answer
    x = 5,811.49

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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.