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Finding the Fourth Proportional to 7,796.26, 11,697.12 and 4,871.14

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Solution

The fourth proportional to 7,796.26, 11,697.12 and 4,871.14 is: 7,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.26 : 11,697.12 = 4,871.14 : x
  2. Step 2: Convert to fraction form
    7,796.26/11,697.12 = 4,871.14/x
  3. Step 3: Cross multiply
    7,796.26x = 11,697.12 × 4,871.14
  4. Step 4: Simplify right side
    7,796.26x = 56,978,309.12
  5. Step 5: Solve for x
    x = 56,978,309.12/7,796.26
  6. Step 6: Final answer
    x = 7,308.42

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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.