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Finding the Fourth Proportional to 7,517.75, 11,289.44 and 6,267.06

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Solution

The fourth proportional to 7,517.75, 11,289.44 and 6,267.06 is: 9,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.75 : 11,289.44 = 6,267.06 : x
  2. Step 2: Convert to fraction form
    7,517.75/11,289.44 = 6,267.06/x
  3. Step 3: Cross multiply
    7,517.75x = 11,289.44 × 6,267.06
  4. Step 4: Simplify right side
    7,517.75x = 70,751,597.85
  5. Step 5: Solve for x
    x = 70,751,597.85/7,517.75
  6. Step 6: Final answer
    x = 9,411.27

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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.