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Finding the Fourth Proportional to 8,334.70, 11,485.96 and 5,972.74

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Solution

The fourth proportional to 8,334.70, 11,485.96 and 5,972.74 is: 8,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.70 : 11,485.96 = 5,972.74 : x
  2. Step 2: Convert to fraction form
    8,334.70/11,485.96 = 5,972.74/x
  3. Step 3: Cross multiply
    8,334.70x = 11,485.96 × 5,972.74
  4. Step 4: Simplify right side
    8,334.70x = 68,602,609.08
  5. Step 5: Solve for x
    x = 68,602,609.08/8,334.70
  6. Step 6: Final answer
    x = 8,230.97

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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.