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Finding the Fourth Proportional to 7,644.36, 10,549.28 and 4,287.88

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Solution

The fourth proportional to 7,644.36, 10,549.28 and 4,287.88 is: 5,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.36 : 10,549.28 = 4,287.88 : x
  2. Step 2: Convert to fraction form
    7,644.36/10,549.28 = 4,287.88/x
  3. Step 3: Cross multiply
    7,644.36x = 10,549.28 × 4,287.88
  4. Step 4: Simplify right side
    7,644.36x = 45,234,046.73
  5. Step 5: Solve for x
    x = 45,234,046.73/7,644.36
  6. Step 6: Final answer
    x = 5,917.31

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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.