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Finding the Fourth Proportional to 6,706.85, 10,057.03 and 2,810.21

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Solution

The fourth proportional to 6,706.85, 10,057.03 and 2,810.21 is: 4,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.85 : 10,057.03 = 2,810.21 : x
  2. Step 2: Convert to fraction form
    6,706.85/10,057.03 = 2,810.21/x
  3. Step 3: Cross multiply
    6,706.85x = 10,057.03 × 2,810.21
  4. Step 4: Simplify right side
    6,706.85x = 28,262,308.97
  5. Step 5: Solve for x
    x = 28,262,308.97/6,706.85
  6. Step 6: Final answer
    x = 4,213.95

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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.