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Finding the Fourth Proportional to 7,310.40, 10,963.24 and 2,378.84

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Solution

The fourth proportional to 7,310.40, 10,963.24 and 2,378.84 is: 3,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.40 : 10,963.24 = 2,378.84 : x
  2. Step 2: Convert to fraction form
    7,310.40/10,963.24 = 2,378.84/x
  3. Step 3: Cross multiply
    7,310.40x = 10,963.24 × 2,378.84
  4. Step 4: Simplify right side
    7,310.40x = 26,079,793.84
  5. Step 5: Solve for x
    x = 26,079,793.84/7,310.40
  6. Step 6: Final answer
    x = 3,567.49

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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.