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Finding the Fourth Proportional to 8,212.96, 11,334.02 and 4,676.50

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Solution

The fourth proportional to 8,212.96, 11,334.02 and 4,676.50 is: 6,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.96 : 11,334.02 = 4,676.50 : x
  2. Step 2: Convert to fraction form
    8,212.96/11,334.02 = 4,676.50/x
  3. Step 3: Cross multiply
    8,212.96x = 11,334.02 × 4,676.50
  4. Step 4: Simplify right side
    8,212.96x = 53,003,544.53
  5. Step 5: Solve for x
    x = 53,003,544.53/8,212.96
  6. Step 6: Final answer
    x = 6,453.65

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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.