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Finding the Fourth Proportional to 7,538.67, 10,411.34 and 6,714.09

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Solution

The fourth proportional to 7,538.67, 10,411.34 and 6,714.09 is: 9,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.67 : 10,411.34 = 6,714.09 : x
  2. Step 2: Convert to fraction form
    7,538.67/10,411.34 = 6,714.09/x
  3. Step 3: Cross multiply
    7,538.67x = 10,411.34 × 6,714.09
  4. Step 4: Simplify right side
    7,538.67x = 69,902,640.21
  5. Step 5: Solve for x
    x = 69,902,640.21/7,538.67
  6. Step 6: Final answer
    x = 9,272.54

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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.