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Finding the Fourth Proportional to 7,158.62, 10,738.22 and 1,964.49

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Solution

The fourth proportional to 7,158.62, 10,738.22 and 1,964.49 is: 2,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.62 : 10,738.22 = 1,964.49 : x
  2. Step 2: Convert to fraction form
    7,158.62/10,738.22 = 1,964.49/x
  3. Step 3: Cross multiply
    7,158.62x = 10,738.22 × 1,964.49
  4. Step 4: Simplify right side
    7,158.62x = 21,095,115.99
  5. Step 5: Solve for x
    x = 21,095,115.99/7,158.62
  6. Step 6: Final answer
    x = 2,946.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.