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Finding the Fourth Proportional to 7,274.81, 10,913.74 and 2,344.95

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Solution

The fourth proportional to 7,274.81, 10,913.74 and 2,344.95 is: 3,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.81 : 10,913.74 = 2,344.95 : x
  2. Step 2: Convert to fraction form
    7,274.81/10,913.74 = 2,344.95/x
  3. Step 3: Cross multiply
    7,274.81x = 10,913.74 × 2,344.95
  4. Step 4: Simplify right side
    7,274.81x = 25,592,168.75
  5. Step 5: Solve for x
    x = 25,592,168.75/7,274.81
  6. Step 6: Final answer
    x = 3,517.91

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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.