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Finding the Fourth Proportional to 10,847.56, 16,276.20 and 4,271.56

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Solution

The fourth proportional to 10,847.56, 16,276.20 and 4,271.56 is: 6,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.56 : 16,276.20 = 4,271.56 : x
  2. Step 2: Convert to fraction form
    10,847.56/16,276.20 = 4,271.56/x
  3. Step 3: Cross multiply
    10,847.56x = 16,276.20 × 4,271.56
  4. Step 4: Simplify right side
    10,847.56x = 69,524,764.87
  5. Step 5: Solve for x
    x = 69,524,764.87/10,847.56
  6. Step 6: Final answer
    x = 6,409.25

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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.