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Finding the Fourth Proportional to 7,471.80, 11,207.70 and 6,908.60

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Solution

The fourth proportional to 7,471.80, 11,207.70 and 6,908.60 is: 10,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.80 : 11,207.70 = 6,908.60 : x
  2. Step 2: Convert to fraction form
    7,471.80/11,207.70 = 6,908.60/x
  3. Step 3: Cross multiply
    7,471.80x = 11,207.70 × 6,908.60
  4. Step 4: Simplify right side
    7,471.80x = 77,429,516.22
  5. Step 5: Solve for x
    x = 77,429,516.22/7,471.80
  6. Step 6: Final answer
    x = 10,362.90

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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.