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Finding the Fourth Proportional to 7,568.64, 10,443.14 and 4,424.22

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Solution

The fourth proportional to 7,568.64, 10,443.14 and 4,424.22 is: 6,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.64 : 10,443.14 = 4,424.22 : x
  2. Step 2: Convert to fraction form
    7,568.64/10,443.14 = 4,424.22/x
  3. Step 3: Cross multiply
    7,568.64x = 10,443.14 × 4,424.22
  4. Step 4: Simplify right side
    7,568.64x = 46,202,748.85
  5. Step 5: Solve for x
    x = 46,202,748.85/7,568.64
  6. Step 6: Final answer
    x = 6,104.50

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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.