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Finding the Fourth Proportional to 7,855.57, 10,840.75 and 4,270.53

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Solution

The fourth proportional to 7,855.57, 10,840.75 and 4,270.53 is: 5,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.57 : 10,840.75 = 4,270.53 : x
  2. Step 2: Convert to fraction form
    7,855.57/10,840.75 = 4,270.53/x
  3. Step 3: Cross multiply
    7,855.57x = 10,840.75 × 4,270.53
  4. Step 4: Simplify right side
    7,855.57x = 46,295,761.44
  5. Step 5: Solve for x
    x = 46,295,761.44/7,855.57
  6. Step 6: Final answer
    x = 5,893.37

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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.