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Finding the Fourth Proportional to 7,274.54, 10,913.94 and 2,344.08

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Solution

The fourth proportional to 7,274.54, 10,913.94 and 2,344.08 is: 3,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.54 : 10,913.94 = 2,344.08 : x
  2. Step 2: Convert to fraction form
    7,274.54/10,913.94 = 2,344.08/x
  3. Step 3: Cross multiply
    7,274.54x = 10,913.94 × 2,344.08
  4. Step 4: Simplify right side
    7,274.54x = 25,583,148.48
  5. Step 5: Solve for x
    x = 25,583,148.48/7,274.54
  6. Step 6: Final answer
    x = 3,516.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.