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Finding the Fourth Proportional to 7,871.12, 11,814 and 3,978.26

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Solution

The fourth proportional to 7,871.12, 11,814 and 3,978.26 is: 5,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.12 : 11,814 = 3,978.26 : x
  2. Step 2: Convert to fraction form
    7,871.12/11,814 = 3,978.26/x
  3. Step 3: Cross multiply
    7,871.12x = 11,814 × 3,978.26
  4. Step 4: Simplify right side
    7,871.12x = 46,999,163.64
  5. Step 5: Solve for x
    x = 46,999,163.64/7,871.12
  6. Step 6: Final answer
    x = 5,971.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.