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Finding the Fourth Proportional to 8,486.44, 12,724.53 and 3,805.60

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Solution

The fourth proportional to 8,486.44, 12,724.53 and 3,805.60 is: 5,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.44 : 12,724.53 = 3,805.60 : x
  2. Step 2: Convert to fraction form
    8,486.44/12,724.53 = 3,805.60/x
  3. Step 3: Cross multiply
    8,486.44x = 12,724.53 × 3,805.60
  4. Step 4: Simplify right side
    8,486.44x = 48,424,471.37
  5. Step 5: Solve for x
    x = 48,424,471.37/8,486.44
  6. Step 6: Final answer
    x = 5,706.10

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Why These Related Problems?

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