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Finding the Fourth Proportional to 11,471.28, 17,211.76 and 6,271.08

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Solution

The fourth proportional to 11,471.28, 17,211.76 and 6,271.08 is: 9,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.28 : 17,211.76 = 6,271.08 : x
  2. Step 2: Convert to fraction form
    11,471.28/17,211.76 = 6,271.08/x
  3. Step 3: Cross multiply
    11,471.28x = 17,211.76 × 6,271.08
  4. Step 4: Simplify right side
    11,471.28x = 107,936,323.90
  5. Step 5: Solve for x
    x = 107,936,323.90/11,471.28
  6. Step 6: Final answer
    x = 9,409.27

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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.