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Finding the Fourth Proportional to 8,321.50, 11,484.69 and 5,336.25

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Solution

The fourth proportional to 8,321.50, 11,484.69 and 5,336.25 is: 7,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.50 : 11,484.69 = 5,336.25 : x
  2. Step 2: Convert to fraction form
    8,321.50/11,484.69 = 5,336.25/x
  3. Step 3: Cross multiply
    8,321.50x = 11,484.69 × 5,336.25
  4. Step 4: Simplify right side
    8,321.50x = 61,285,113.93
  5. Step 5: Solve for x
    x = 61,285,113.93/8,321.50
  6. Step 6: Final answer
    x = 7,364.67

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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.