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Finding the Fourth Proportional to 7,585.72, 11,377.94 and 3,481.72

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Solution

The fourth proportional to 7,585.72, 11,377.94 and 3,481.72 is: 5,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.72 : 11,377.94 = 3,481.72 : x
  2. Step 2: Convert to fraction form
    7,585.72/11,377.94 = 3,481.72/x
  3. Step 3: Cross multiply
    7,585.72x = 11,377.94 × 3,481.72
  4. Step 4: Simplify right side
    7,585.72x = 39,614,801.26
  5. Step 5: Solve for x
    x = 39,614,801.26/7,585.72
  6. Step 6: Final answer
    x = 5,222.29

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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.