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Finding the Fourth Proportional to 7,310.46, 10,963.20 and 2,378.88

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Solution

The fourth proportional to 7,310.46, 10,963.20 and 2,378.88 is: 3,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.46 : 10,963.20 = 2,378.88 : x
  2. Step 2: Convert to fraction form
    7,310.46/10,963.20 = 2,378.88/x
  3. Step 3: Cross multiply
    7,310.46x = 10,963.20 × 2,378.88
  4. Step 4: Simplify right side
    7,310.46x = 26,080,082.40
  5. Step 5: Solve for x
    x = 26,080,082.40/7,310.46
  6. Step 6: Final answer
    x = 3,567.50

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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.