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Finding the Fourth Proportional to 6,000.72, 8,971.50 and 5,086.50

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Solution

The fourth proportional to 6,000.72, 8,971.50 and 5,086.50 is: 7,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.72 : 8,971.50 = 5,086.50 : x
  2. Step 2: Convert to fraction form
    6,000.72/8,971.50 = 5,086.50/x
  3. Step 3: Cross multiply
    6,000.72x = 8,971.50 × 5,086.50
  4. Step 4: Simplify right side
    6,000.72x = 45,633,534.75
  5. Step 5: Solve for x
    x = 45,633,534.75/6,000.72
  6. Step 6: Final answer
    x = 7,604.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.