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Finding the Fourth Proportional to 7,568.34, 11,345.20 and 3,872.31

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Solution

The fourth proportional to 7,568.34, 11,345.20 and 3,872.31 is: 5,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.34 : 11,345.20 = 3,872.31 : x
  2. Step 2: Convert to fraction form
    7,568.34/11,345.20 = 3,872.31/x
  3. Step 3: Cross multiply
    7,568.34x = 11,345.20 × 3,872.31
  4. Step 4: Simplify right side
    7,568.34x = 43,932,131.41
  5. Step 5: Solve for x
    x = 43,932,131.41/7,568.34
  6. Step 6: Final answer
    x = 5,804.72

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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.