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Finding the Fourth Proportional to 8,586.76, 11,847.72 and 6,224.80

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Solution

The fourth proportional to 8,586.76, 11,847.72 and 6,224.80 is: 8,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.76 : 11,847.72 = 6,224.80 : x
  2. Step 2: Convert to fraction form
    8,586.76/11,847.72 = 6,224.80/x
  3. Step 3: Cross multiply
    8,586.76x = 11,847.72 × 6,224.80
  4. Step 4: Simplify right side
    8,586.76x = 73,749,687.46
  5. Step 5: Solve for x
    x = 73,749,687.46/8,586.76
  6. Step 6: Final answer
    x = 8,588.77

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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.