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Finding the Fourth Proportional to 8,644.85, 11,930.12 and 5,287.60

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Solution

The fourth proportional to 8,644.85, 11,930.12 and 5,287.60 is: 7,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.85 : 11,930.12 = 5,287.60 : x
  2. Step 2: Convert to fraction form
    8,644.85/11,930.12 = 5,287.60/x
  3. Step 3: Cross multiply
    8,644.85x = 11,930.12 × 5,287.60
  4. Step 4: Simplify right side
    8,644.85x = 63,081,685.91
  5. Step 5: Solve for x
    x = 63,081,685.91/8,644.85
  6. Step 6: Final answer
    x = 7,297.03

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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.