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Finding the Fourth Proportional to 7,568.33, 10,443.17 and 4,211.15

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Solution

The fourth proportional to 7,568.33, 10,443.17 and 4,211.15 is: 5,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.33 : 10,443.17 = 4,211.15 : x
  2. Step 2: Convert to fraction form
    7,568.33/10,443.17 = 4,211.15/x
  3. Step 3: Cross multiply
    7,568.33x = 10,443.17 × 4,211.15
  4. Step 4: Simplify right side
    7,568.33x = 43,977,682.07
  5. Step 5: Solve for x
    x = 43,977,682.07/7,568.33
  6. Step 6: Final answer
    x = 5,810.75

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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.