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Finding the Fourth Proportional to 7,764.32, 10,714.40 and 4,227.32

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Solution

The fourth proportional to 7,764.32, 10,714.40 and 4,227.32 is: 5,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.32 : 10,714.40 = 4,227.32 : x
  2. Step 2: Convert to fraction form
    7,764.32/10,714.40 = 4,227.32/x
  3. Step 3: Cross multiply
    7,764.32x = 10,714.40 × 4,227.32
  4. Step 4: Simplify right side
    7,764.32x = 45,293,197.41
  5. Step 5: Solve for x
    x = 45,293,197.41/7,764.32
  6. Step 6: Final answer
    x = 5,833.50

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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.