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Finding the Fourth Proportional to 6,182.11, 8,532.57 and 5,683.96

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Solution

The fourth proportional to 6,182.11, 8,532.57 and 5,683.96 is: 7,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.11 : 8,532.57 = 5,683.96 : x
  2. Step 2: Convert to fraction form
    6,182.11/8,532.57 = 5,683.96/x
  3. Step 3: Cross multiply
    6,182.11x = 8,532.57 × 5,683.96
  4. Step 4: Simplify right side
    6,182.11x = 48,498,786.58
  5. Step 5: Solve for x
    x = 48,498,786.58/6,182.11
  6. Step 6: Final answer
    x = 7,845.02

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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.