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Finding the Fourth Proportional to 7,324.50, 10,988.16 and 2,942.32

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Solution

The fourth proportional to 7,324.50, 10,988.16 and 2,942.32 is: 4,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.50 : 10,988.16 = 2,942.32 : x
  2. Step 2: Convert to fraction form
    7,324.50/10,988.16 = 2,942.32/x
  3. Step 3: Cross multiply
    7,324.50x = 10,988.16 × 2,942.32
  4. Step 4: Simplify right side
    7,324.50x = 32,330,682.93
  5. Step 5: Solve for x
    x = 32,330,682.93/7,324.50
  6. Step 6: Final answer
    x = 4,414.05

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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.