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Finding the Fourth Proportional to 7,751.75, 11,626.38 and 2,128.11

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Solution

The fourth proportional to 7,751.75, 11,626.38 and 2,128.11 is: 3,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.75 : 11,626.38 = 2,128.11 : x
  2. Step 2: Convert to fraction form
    7,751.75/11,626.38 = 2,128.11/x
  3. Step 3: Cross multiply
    7,751.75x = 11,626.38 × 2,128.11
  4. Step 4: Simplify right side
    7,751.75x = 24,742,146.77
  5. Step 5: Solve for x
    x = 24,742,146.77/7,751.75
  6. Step 6: Final answer
    x = 3,191.81

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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.