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Finding the Fourth Proportional to 6,399.12, 8,828.10 and 4,160.28

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Solution

The fourth proportional to 6,399.12, 8,828.10 and 4,160.28 is: 5,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.12 : 8,828.10 = 4,160.28 : x
  2. Step 2: Convert to fraction form
    6,399.12/8,828.10 = 4,160.28/x
  3. Step 3: Cross multiply
    6,399.12x = 8,828.10 × 4,160.28
  4. Step 4: Simplify right side
    6,399.12x = 36,727,367.87
  5. Step 5: Solve for x
    x = 36,727,367.87/6,399.12
  6. Step 6: Final answer
    x = 5,739.44

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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.