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Finding the Fourth Proportional to 7,804.45, 11,706.22 and 2,257.67

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Solution

The fourth proportional to 7,804.45, 11,706.22 and 2,257.67 is: 3,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.45 : 11,706.22 = 2,257.67 : x
  2. Step 2: Convert to fraction form
    7,804.45/11,706.22 = 2,257.67/x
  3. Step 3: Cross multiply
    7,804.45x = 11,706.22 × 2,257.67
  4. Step 4: Simplify right side
    7,804.45x = 26,428,813.80
  5. Step 5: Solve for x
    x = 26,428,813.80/7,804.45
  6. Step 6: Final answer
    x = 3,386.38

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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.