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Finding the Fourth Proportional to 6,382.04, 8,804.22 and 4,027.64

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Solution

The fourth proportional to 6,382.04, 8,804.22 and 4,027.64 is: 5,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.04 : 8,804.22 = 4,027.64 : x
  2. Step 2: Convert to fraction form
    6,382.04/8,804.22 = 4,027.64/x
  3. Step 3: Cross multiply
    6,382.04x = 8,804.22 × 4,027.64
  4. Step 4: Simplify right side
    6,382.04x = 35,460,228.64
  5. Step 5: Solve for x
    x = 35,460,228.64/6,382.04
  6. Step 6: Final answer
    x = 5,556.25

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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.