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Finding the Fourth Proportional to 8,361.53, 11,532.26 and 7,106.75

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Solution

The fourth proportional to 8,361.53, 11,532.26 and 7,106.75 is: 9,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.53 : 11,532.26 = 7,106.75 : x
  2. Step 2: Convert to fraction form
    8,361.53/11,532.26 = 7,106.75/x
  3. Step 3: Cross multiply
    8,361.53x = 11,532.26 × 7,106.75
  4. Step 4: Simplify right side
    8,361.53x = 81,956,795.56
  5. Step 5: Solve for x
    x = 81,956,795.56/8,361.53
  6. Step 6: Final answer
    x = 9,801.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.