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Finding the Fourth Proportional to 6,343.61, 8,756.63 and 5,679.30

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Solution

The fourth proportional to 6,343.61, 8,756.63 and 5,679.30 is: 7,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.61 : 8,756.63 = 5,679.30 : x
  2. Step 2: Convert to fraction form
    6,343.61/8,756.63 = 5,679.30/x
  3. Step 3: Cross multiply
    6,343.61x = 8,756.63 × 5,679.30
  4. Step 4: Simplify right side
    6,343.61x = 49,731,500.36
  5. Step 5: Solve for x
    x = 49,731,500.36/6,343.61
  6. Step 6: Final answer
    x = 7,839.63

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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.