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Finding the Fourth Proportional to 6,382.48, 8,804.75 and 4,114.68

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Solution

The fourth proportional to 6,382.48, 8,804.75 and 4,114.68 is: 5,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.48 : 8,804.75 = 4,114.68 : x
  2. Step 2: Convert to fraction form
    6,382.48/8,804.75 = 4,114.68/x
  3. Step 3: Cross multiply
    6,382.48x = 8,804.75 × 4,114.68
  4. Step 4: Simplify right side
    6,382.48x = 36,228,708.16
  5. Step 5: Solve for x
    x = 36,228,708.16/6,382.48
  6. Step 6: Final answer
    x = 5,676.28

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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.