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Finding the Fourth Proportional to 7,817.76, 11,722.32 and 2,622.24

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Solution

The fourth proportional to 7,817.76, 11,722.32 and 2,622.24 is: 3,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.76 : 11,722.32 = 2,622.24 : x
  2. Step 2: Convert to fraction form
    7,817.76/11,722.32 = 2,622.24/x
  3. Step 3: Cross multiply
    7,817.76x = 11,722.32 × 2,622.24
  4. Step 4: Simplify right side
    7,817.76x = 30,738,736.40
  5. Step 5: Solve for x
    x = 30,738,736.40/7,817.76
  6. Step 6: Final answer
    x = 3,931.91

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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.