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Finding the Fourth Proportional to 7,828.37, 10,803.83 and 4,292.27

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Solution

The fourth proportional to 7,828.37, 10,803.83 and 4,292.27 is: 5,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.37 : 10,803.83 = 4,292.27 : x
  2. Step 2: Convert to fraction form
    7,828.37/10,803.83 = 4,292.27/x
  3. Step 3: Cross multiply
    7,828.37x = 10,803.83 × 4,292.27
  4. Step 4: Simplify right side
    7,828.37x = 46,372,879.91
  5. Step 5: Solve for x
    x = 46,372,879.91/7,828.37
  6. Step 6: Final answer
    x = 5,923.70

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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.