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Finding the Fourth Proportional to 7,471.68, 11,191.20 and 3,998.40

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Solution

The fourth proportional to 7,471.68, 11,191.20 and 3,998.40 is: 5,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.68 : 11,191.20 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    7,471.68/11,191.20 = 3,998.40/x
  3. Step 3: Cross multiply
    7,471.68x = 11,191.20 × 3,998.40
  4. Step 4: Simplify right side
    7,471.68x = 44,746,894.08
  5. Step 5: Solve for x
    x = 44,746,894.08/7,471.68
  6. Step 6: Final answer
    x = 5,988.87

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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.