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Finding the Fourth Proportional to 7,819.32, 11,728.88 and 1,975.90

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Solution

The fourth proportional to 7,819.32, 11,728.88 and 1,975.90 is: 2,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.32 : 11,728.88 = 1,975.90 : x
  2. Step 2: Convert to fraction form
    7,819.32/11,728.88 = 1,975.90/x
  3. Step 3: Cross multiply
    7,819.32x = 11,728.88 × 1,975.90
  4. Step 4: Simplify right side
    7,819.32x = 23,175,093.99
  5. Step 5: Solve for x
    x = 23,175,093.99/7,819.32
  6. Step 6: Final answer
    x = 2,963.82

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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.