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Finding the Fourth Proportional to 6,382.48, 8,801.88 and 4,141.96

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Solution

The fourth proportional to 6,382.48, 8,801.88 and 4,141.96 is: 5,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.48 : 8,801.88 = 4,141.96 : x
  2. Step 2: Convert to fraction form
    6,382.48/8,801.88 = 4,141.96/x
  3. Step 3: Cross multiply
    6,382.48x = 8,801.88 × 4,141.96
  4. Step 4: Simplify right side
    6,382.48x = 36,457,034.88
  5. Step 5: Solve for x
    x = 36,457,034.88/6,382.48
  6. Step 6: Final answer
    x = 5,712.05

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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.