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Finding the Fourth Proportional to 7,714.98, 11,572.92 and 2,168.16

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Solution

The fourth proportional to 7,714.98, 11,572.92 and 2,168.16 is: 3,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.98 : 11,572.92 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    7,714.98/11,572.92 = 2,168.16/x
  3. Step 3: Cross multiply
    7,714.98x = 11,572.92 × 2,168.16
  4. Step 4: Simplify right side
    7,714.98x = 25,091,942.23
  5. Step 5: Solve for x
    x = 25,091,942.23/7,714.98
  6. Step 6: Final answer
    x = 3,252.37

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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.