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Finding the Fourth Proportional to 7,574.42, 11,361.54 and 2,380.26

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Solution

The fourth proportional to 7,574.42, 11,361.54 and 2,380.26 is: 3,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.42 : 11,361.54 = 2,380.26 : x
  2. Step 2: Convert to fraction form
    7,574.42/11,361.54 = 2,380.26/x
  3. Step 3: Cross multiply
    7,574.42x = 11,361.54 × 2,380.26
  4. Step 4: Simplify right side
    7,574.42x = 27,043,419.20
  5. Step 5: Solve for x
    x = 27,043,419.20/7,574.42
  6. Step 6: Final answer
    x = 3,570.36

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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.