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Finding the Fourth Proportional to 7,574.25, 11,361.78 and 2,380.53

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Solution

The fourth proportional to 7,574.25, 11,361.78 and 2,380.53 is: 3,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.25 : 11,361.78 = 2,380.53 : x
  2. Step 2: Convert to fraction form
    7,574.25/11,361.78 = 2,380.53/x
  3. Step 3: Cross multiply
    7,574.25x = 11,361.78 × 2,380.53
  4. Step 4: Simplify right side
    7,574.25x = 27,047,058.14
  5. Step 5: Solve for x
    x = 27,047,058.14/7,574.25
  6. Step 6: Final answer
    x = 3,570.92

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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.