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Finding the Fourth Proportional to 6,342.10, 8,754.55 and 5,677.80

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Solution

The fourth proportional to 6,342.10, 8,754.55 and 5,677.80 is: 7,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.10 : 8,754.55 = 5,677.80 : x
  2. Step 2: Convert to fraction form
    6,342.10/8,754.55 = 5,677.80/x
  3. Step 3: Cross multiply
    6,342.10x = 8,754.55 × 5,677.80
  4. Step 4: Simplify right side
    6,342.10x = 49,706,536.97
  5. Step 5: Solve for x
    x = 49,706,536.97/6,342.10
  6. Step 6: Final answer
    x = 7,837.55

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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.