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Finding the Fourth Proportional to 6,286.62, 8,608.47 and 6,038.76

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Solution

The fourth proportional to 6,286.62, 8,608.47 and 6,038.76 is: 8,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.62 : 8,608.47 = 6,038.76 : x
  2. Step 2: Convert to fraction form
    6,286.62/8,608.47 = 6,038.76/x
  3. Step 3: Cross multiply
    6,286.62x = 8,608.47 × 6,038.76
  4. Step 4: Simplify right side
    6,286.62x = 51,984,484.30
  5. Step 5: Solve for x
    x = 51,984,484.30/6,286.62
  6. Step 6: Final answer
    x = 8,269.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.