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Finding the Fourth Proportional to 7,764.21, 10,714.23 and 4,227.30

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Solution

The fourth proportional to 7,764.21, 10,714.23 and 4,227.30 is: 5,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.21 : 10,714.23 = 4,227.30 : x
  2. Step 2: Convert to fraction form
    7,764.21/10,714.23 = 4,227.30/x
  3. Step 3: Cross multiply
    7,764.21x = 10,714.23 × 4,227.30
  4. Step 4: Simplify right side
    7,764.21x = 45,292,264.48
  5. Step 5: Solve for x
    x = 45,292,264.48/7,764.21
  6. Step 6: Final answer
    x = 5,833.47

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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.