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Finding the Fourth Proportional to 7,568.43, 10,442.73 and 4,584.21

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Solution

The fourth proportional to 7,568.43, 10,442.73 and 4,584.21 is: 6,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.43 : 10,442.73 = 4,584.21 : x
  2. Step 2: Convert to fraction form
    7,568.43/10,442.73 = 4,584.21/x
  3. Step 3: Cross multiply
    7,568.43x = 10,442.73 × 4,584.21
  4. Step 4: Simplify right side
    7,568.43x = 47,871,667.29
  5. Step 5: Solve for x
    x = 47,871,667.29/7,568.43
  6. Step 6: Final answer
    x = 6,325.18

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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.