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Finding the Fourth Proportional to 7,714.73, 11,572.55 and 2,168.51

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Solution

The fourth proportional to 7,714.73, 11,572.55 and 2,168.51 is: 3,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.73 : 11,572.55 = 2,168.51 : x
  2. Step 2: Convert to fraction form
    7,714.73/11,572.55 = 2,168.51/x
  3. Step 3: Cross multiply
    7,714.73x = 11,572.55 × 2,168.51
  4. Step 4: Simplify right side
    7,714.73x = 25,095,121.70
  5. Step 5: Solve for x
    x = 25,095,121.70/7,714.73
  6. Step 6: Final answer
    x = 3,252.88

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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.