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Finding the Fourth Proportional to 6,770.34, 10,128.33 and 5,855.76

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Solution

The fourth proportional to 6,770.34, 10,128.33 and 5,855.76 is: 8,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.34 : 10,128.33 = 5,855.76 : x
  2. Step 2: Convert to fraction form
    6,770.34/10,128.33 = 5,855.76/x
  3. Step 3: Cross multiply
    6,770.34x = 10,128.33 × 5,855.76
  4. Step 4: Simplify right side
    6,770.34x = 59,309,069.68
  5. Step 5: Solve for x
    x = 59,309,069.68/6,770.34
  6. Step 6: Final answer
    x = 8,760.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.