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Finding the Fourth Proportional to 6,847.77, 10,269.84 and 3,148.11

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Solution

The fourth proportional to 6,847.77, 10,269.84 and 3,148.11 is: 4,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.77 : 10,269.84 = 3,148.11 : x
  2. Step 2: Convert to fraction form
    6,847.77/10,269.84 = 3,148.11/x
  3. Step 3: Cross multiply
    6,847.77x = 10,269.84 × 3,148.11
  4. Step 4: Simplify right side
    6,847.77x = 32,330,586.00
  5. Step 5: Solve for x
    x = 32,330,586.00/6,847.77
  6. Step 6: Final answer
    x = 4,721.33

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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.