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Finding the Fourth Proportional to 8,174.25, 12,261.32 and 5,400.26

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Solution

The fourth proportional to 8,174.25, 12,261.32 and 5,400.26 is: 8,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.25 : 12,261.32 = 5,400.26 : x
  2. Step 2: Convert to fraction form
    8,174.25/12,261.32 = 5,400.26/x
  3. Step 3: Cross multiply
    8,174.25x = 12,261.32 × 5,400.26
  4. Step 4: Simplify right side
    8,174.25x = 66,214,307.00
  5. Step 5: Solve for x
    x = 66,214,307.00/8,174.25
  6. Step 6: Final answer
    x = 8,100.35

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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.