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Finding the Fourth Proportional to 7,574.61, 11,361.84 and 2,027.79

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Solution

The fourth proportional to 7,574.61, 11,361.84 and 2,027.79 is: 3,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.61 : 11,361.84 = 2,027.79 : x
  2. Step 2: Convert to fraction form
    7,574.61/11,361.84 = 2,027.79/x
  3. Step 3: Cross multiply
    7,574.61x = 11,361.84 × 2,027.79
  4. Step 4: Simplify right side
    7,574.61x = 23,039,425.53
  5. Step 5: Solve for x
    x = 23,039,425.53/7,574.61
  6. Step 6: Final answer
    x = 3,041.66

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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.