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Finding the Fourth Proportional to 7,714.87, 11,571.40 and 2,168.69

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Solution

The fourth proportional to 7,714.87, 11,571.40 and 2,168.69 is: 3,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.87 : 11,571.40 = 2,168.69 : x
  2. Step 2: Convert to fraction form
    7,714.87/11,571.40 = 2,168.69/x
  3. Step 3: Cross multiply
    7,714.87x = 11,571.40 × 2,168.69
  4. Step 4: Simplify right side
    7,714.87x = 25,094,721.61
  5. Step 5: Solve for x
    x = 25,094,721.61/7,714.87
  6. Step 6: Final answer
    x = 3,252.77

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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.