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Finding the Fourth Proportional to 7,181.87, 10,773.81 and 3,019.28

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Solution

The fourth proportional to 7,181.87, 10,773.81 and 3,019.28 is: 4,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.87 : 10,773.81 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    7,181.87/10,773.81 = 3,019.28/x
  3. Step 3: Cross multiply
    7,181.87x = 10,773.81 × 3,019.28
  4. Step 4: Simplify right side
    7,181.87x = 32,529,095.19
  5. Step 5: Solve for x
    x = 32,529,095.19/7,181.87
  6. Step 6: Final answer
    x = 4,529.34

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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.