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Finding the Fourth Proportional to 6,910.56, 10,354.96 and 4,309.60

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Solution

The fourth proportional to 6,910.56, 10,354.96 and 4,309.60 is: 6,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.56 : 10,354.96 = 4,309.60 : x
  2. Step 2: Convert to fraction form
    6,910.56/10,354.96 = 4,309.60/x
  3. Step 3: Cross multiply
    6,910.56x = 10,354.96 × 4,309.60
  4. Step 4: Simplify right side
    6,910.56x = 44,625,735.62
  5. Step 5: Solve for x
    x = 44,625,735.62/6,910.56
  6. Step 6: Final answer
    x = 6,457.61

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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.