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Finding the Fourth Proportional to 7,843.55, 11,759.58 and 3,681.41

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Solution

The fourth proportional to 7,843.55, 11,759.58 and 3,681.41 is: 5,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.55 : 11,759.58 = 3,681.41 : x
  2. Step 2: Convert to fraction form
    7,843.55/11,759.58 = 3,681.41/x
  3. Step 3: Cross multiply
    7,843.55x = 11,759.58 × 3,681.41
  4. Step 4: Simplify right side
    7,843.55x = 43,291,776.61
  5. Step 5: Solve for x
    x = 43,291,776.61/7,843.55
  6. Step 6: Final answer
    x = 5,519.41

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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.