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Finding the Fourth Proportional to 6,846.86, 10,271.51 and 2,688.83

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Solution

The fourth proportional to 6,846.86, 10,271.51 and 2,688.83 is: 4,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.86 : 10,271.51 = 2,688.83 : x
  2. Step 2: Convert to fraction form
    6,846.86/10,271.51 = 2,688.83/x
  3. Step 3: Cross multiply
    6,846.86x = 10,271.51 × 2,688.83
  4. Step 4: Simplify right side
    6,846.86x = 27,618,328.03
  5. Step 5: Solve for x
    x = 27,618,328.03/6,846.86
  6. Step 6: Final answer
    x = 4,033.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.