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Finding the Fourth Proportional to 7,343.78, 11,015.64 and 1,797.16

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Solution

The fourth proportional to 7,343.78, 11,015.64 and 1,797.16 is: 2,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.78 : 11,015.64 = 1,797.16 : x
  2. Step 2: Convert to fraction form
    7,343.78/11,015.64 = 1,797.16/x
  3. Step 3: Cross multiply
    7,343.78x = 11,015.64 × 1,797.16
  4. Step 4: Simplify right side
    7,343.78x = 19,796,812.50
  5. Step 5: Solve for x
    x = 19,796,812.50/7,343.78
  6. Step 6: Final answer
    x = 2,695.73

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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.