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Finding the Fourth Proportional to 7,822.15, 11,704.07 and 7,734.67

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Solution

The fourth proportional to 7,822.15, 11,704.07 and 7,734.67 is: 11,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.15 : 11,704.07 = 7,734.67 : x
  2. Step 2: Convert to fraction form
    7,822.15/11,704.07 = 7,734.67/x
  3. Step 3: Cross multiply
    7,822.15x = 11,704.07 × 7,734.67
  4. Step 4: Simplify right side
    7,822.15x = 90,527,080.43
  5. Step 5: Solve for x
    x = 90,527,080.43/7,822.15
  6. Step 6: Final answer
    x = 11,573.17

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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.