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Finding the Fourth Proportional to 10,676.94, 14,734.18 and 5,961.22

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Solution

The fourth proportional to 10,676.94, 14,734.18 and 5,961.22 is: 8,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.94 : 14,734.18 = 5,961.22 : x
  2. Step 2: Convert to fraction form
    10,676.94/14,734.18 = 5,961.22/x
  3. Step 3: Cross multiply
    10,676.94x = 14,734.18 × 5,961.22
  4. Step 4: Simplify right side
    10,676.94x = 87,833,688.50
  5. Step 5: Solve for x
    x = 87,833,688.50/10,676.94
  6. Step 6: Final answer
    x = 8,226.49

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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.