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Finding the Fourth Proportional to 7,850.45, 11,757.21 and 3,681.47

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Solution

The fourth proportional to 7,850.45, 11,757.21 and 3,681.47 is: 5,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.45 : 11,757.21 = 3,681.47 : x
  2. Step 2: Convert to fraction form
    7,850.45/11,757.21 = 3,681.47/x
  3. Step 3: Cross multiply
    7,850.45x = 11,757.21 × 3,681.47
  4. Step 4: Simplify right side
    7,850.45x = 43,283,815.90
  5. Step 5: Solve for x
    x = 43,283,815.90/7,850.45
  6. Step 6: Final answer
    x = 5,513.55

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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.