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Finding the Fourth Proportional to 6,393.68, 8,824 and 5,679.88

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Solution

The fourth proportional to 6,393.68, 8,824 and 5,679.88 is: 7,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.68 : 8,824 = 5,679.88 : x
  2. Step 2: Convert to fraction form
    6,393.68/8,824 = 5,679.88/x
  3. Step 3: Cross multiply
    6,393.68x = 8,824 × 5,679.88
  4. Step 4: Simplify right side
    6,393.68x = 50,119,261.12
  5. Step 5: Solve for x
    x = 50,119,261.12/6,393.68
  6. Step 6: Final answer
    x = 7,838.88

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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.