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Finding the Fourth Proportional to 7,714.30, 11,542.20 and 5,122.30

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Solution

The fourth proportional to 7,714.30, 11,542.20 and 5,122.30 is: 7,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.30 : 11,542.20 = 5,122.30 : x
  2. Step 2: Convert to fraction form
    7,714.30/11,542.20 = 5,122.30/x
  3. Step 3: Cross multiply
    7,714.30x = 11,542.20 × 5,122.30
  4. Step 4: Simplify right side
    7,714.30x = 59,122,611.06
  5. Step 5: Solve for x
    x = 59,122,611.06/7,714.30
  6. Step 6: Final answer
    x = 7,664.03

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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.