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Finding the Fourth Proportional to 6,160.96, 8,541.20 and 5,828.44

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Solution

The fourth proportional to 6,160.96, 8,541.20 and 5,828.44 is: 8,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.96 : 8,541.20 = 5,828.44 : x
  2. Step 2: Convert to fraction form
    6,160.96/8,541.20 = 5,828.44/x
  3. Step 3: Cross multiply
    6,160.96x = 8,541.20 × 5,828.44
  4. Step 4: Simplify right side
    6,160.96x = 49,781,871.73
  5. Step 5: Solve for x
    x = 49,781,871.73/6,160.96
  6. Step 6: Final answer
    x = 8,080.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.