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Finding the Fourth Proportional to 7,275.40, 10,913.82 and 2,344.84

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Solution

The fourth proportional to 7,275.40, 10,913.82 and 2,344.84 is: 3,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.40 : 10,913.82 = 2,344.84 : x
  2. Step 2: Convert to fraction form
    7,275.40/10,913.82 = 2,344.84/x
  3. Step 3: Cross multiply
    7,275.40x = 10,913.82 × 2,344.84
  4. Step 4: Simplify right side
    7,275.40x = 25,591,161.69
  5. Step 5: Solve for x
    x = 25,591,161.69/7,275.40
  6. Step 6: Final answer
    x = 3,517.49

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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.