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Finding the Fourth Proportional to 7,644.83, 10,550.36 and 4,287.86

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Solution

The fourth proportional to 7,644.83, 10,550.36 and 4,287.86 is: 5,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.83 : 10,550.36 = 4,287.86 : x
  2. Step 2: Convert to fraction form
    7,644.83/10,550.36 = 4,287.86/x
  3. Step 3: Cross multiply
    7,644.83x = 10,550.36 × 4,287.86
  4. Step 4: Simplify right side
    7,644.83x = 45,238,464.16
  5. Step 5: Solve for x
    x = 45,238,464.16/7,644.83
  6. Step 6: Final answer
    x = 5,917.53

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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.