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Finding the Fourth Proportional to 7,568.26, 10,445.88 and 4,212.22

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Solution

The fourth proportional to 7,568.26, 10,445.88 and 4,212.22 is: 5,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.26 : 10,445.88 = 4,212.22 : x
  2. Step 2: Convert to fraction form
    7,568.26/10,445.88 = 4,212.22/x
  3. Step 3: Cross multiply
    7,568.26x = 10,445.88 × 4,212.22
  4. Step 4: Simplify right side
    7,568.26x = 44,000,344.65
  5. Step 5: Solve for x
    x = 44,000,344.65/7,568.26
  6. Step 6: Final answer
    x = 5,813.80

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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.