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Finding the Fourth Proportional to 7,806.07, 11,706.46 and 2,539.78

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Solution

The fourth proportional to 7,806.07, 11,706.46 and 2,539.78 is: 3,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.07 : 11,706.46 = 2,539.78 : x
  2. Step 2: Convert to fraction form
    7,806.07/11,706.46 = 2,539.78/x
  3. Step 3: Cross multiply
    7,806.07x = 11,706.46 × 2,539.78
  4. Step 4: Simplify right side
    7,806.07x = 29,731,832.98
  5. Step 5: Solve for x
    x = 29,731,832.98/7,806.07
  6. Step 6: Final answer
    x = 3,808.81

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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.