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Finding the Fourth Proportional to 7,568.12, 11,343.76 and 5,713.22

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Solution

The fourth proportional to 7,568.12, 11,343.76 and 5,713.22 is: 8,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.12 : 11,343.76 = 5,713.22 : x
  2. Step 2: Convert to fraction form
    7,568.12/11,343.76 = 5,713.22/x
  3. Step 3: Cross multiply
    7,568.12x = 11,343.76 × 5,713.22
  4. Step 4: Simplify right side
    7,568.12x = 64,809,396.51
  5. Step 5: Solve for x
    x = 64,809,396.51/7,568.12
  6. Step 6: Final answer
    x = 8,563.47

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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.