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Finding the Fourth Proportional to 8,586.20, 12,857.70 and 5,648.60

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Solution

The fourth proportional to 8,586.20, 12,857.70 and 5,648.60 is: 8,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.20 : 12,857.70 = 5,648.60 : x
  2. Step 2: Convert to fraction form
    8,586.20/12,857.70 = 5,648.60/x
  3. Step 3: Cross multiply
    8,586.20x = 12,857.70 × 5,648.60
  4. Step 4: Simplify right side
    8,586.20x = 72,628,004.22
  5. Step 5: Solve for x
    x = 72,628,004.22/8,586.20
  6. Step 6: Final answer
    x = 8,458.69

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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.