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Finding the Fourth Proportional to 7,570.84, 11,361.78 and 3,876.16

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Solution

The fourth proportional to 7,570.84, 11,361.78 and 3,876.16 is: 5,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.84 : 11,361.78 = 3,876.16 : x
  2. Step 2: Convert to fraction form
    7,570.84/11,361.78 = 3,876.16/x
  3. Step 3: Cross multiply
    7,570.84x = 11,361.78 × 3,876.16
  4. Step 4: Simplify right side
    7,570.84x = 44,040,077.16
  5. Step 5: Solve for x
    x = 44,040,077.16/7,570.84
  6. Step 6: Final answer
    x = 5,817.07

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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.