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Finding the Fourth Proportional to 6,512.23, 8,964.03 and 5,764.87

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Solution

The fourth proportional to 6,512.23, 8,964.03 and 5,764.87 is: 7,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.23 : 8,964.03 = 5,764.87 : x
  2. Step 2: Convert to fraction form
    6,512.23/8,964.03 = 5,764.87/x
  3. Step 3: Cross multiply
    6,512.23x = 8,964.03 × 5,764.87
  4. Step 4: Simplify right side
    6,512.23x = 51,676,467.63
  5. Step 5: Solve for x
    x = 51,676,467.63/6,512.23
  6. Step 6: Final answer
    x = 7,935.30

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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.