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Finding the Fourth Proportional to 6,343.10, 8,755.93 and 5,678.80

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Solution

The fourth proportional to 6,343.10, 8,755.93 and 5,678.80 is: 7,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.10 : 8,755.93 = 5,678.80 : x
  2. Step 2: Convert to fraction form
    6,343.10/8,755.93 = 5,678.80/x
  3. Step 3: Cross multiply
    6,343.10x = 8,755.93 × 5,678.80
  4. Step 4: Simplify right side
    6,343.10x = 49,723,175.28
  5. Step 5: Solve for x
    x = 49,723,175.28/6,343.10
  6. Step 6: Final answer
    x = 7,838.94

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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.