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Finding the Fourth Proportional to 8,211.50, 11,331.87 and 4,485.50

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Solution

The fourth proportional to 8,211.50, 11,331.87 and 4,485.50 is: 6,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.50 : 11,331.87 = 4,485.50 : x
  2. Step 2: Convert to fraction form
    8,211.50/11,331.87 = 4,485.50/x
  3. Step 3: Cross multiply
    8,211.50x = 11,331.87 × 4,485.50
  4. Step 4: Simplify right side
    8,211.50x = 50,829,102.89
  5. Step 5: Solve for x
    x = 50,829,102.89/8,211.50
  6. Step 6: Final answer
    x = 6,189.99

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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.