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Finding the Fourth Proportional to 6,742.96, 10,114.44 and 2,361.67

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Solution

The fourth proportional to 6,742.96, 10,114.44 and 2,361.67 is: 3,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.96 : 10,114.44 = 2,361.67 : x
  2. Step 2: Convert to fraction form
    6,742.96/10,114.44 = 2,361.67/x
  3. Step 3: Cross multiply
    6,742.96x = 10,114.44 × 2,361.67
  4. Step 4: Simplify right side
    6,742.96x = 23,886,935.37
  5. Step 5: Solve for x
    x = 23,886,935.37/6,742.96
  6. Step 6: Final answer
    x = 3,542.50

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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.