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Finding the Fourth Proportional to 8,319.96, 11,481.60 and 4,543.22

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Solution

The fourth proportional to 8,319.96, 11,481.60 and 4,543.22 is: 6,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.96 : 11,481.60 = 4,543.22 : x
  2. Step 2: Convert to fraction form
    8,319.96/11,481.60 = 4,543.22/x
  3. Step 3: Cross multiply
    8,319.96x = 11,481.60 × 4,543.22
  4. Step 4: Simplify right side
    8,319.96x = 52,163,434.75
  5. Step 5: Solve for x
    x = 52,163,434.75/8,319.96
  6. Step 6: Final answer
    x = 6,269.67

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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.