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Finding the Fourth Proportional to 7,804.37, 11,706.56 and 1,960.99

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Solution

The fourth proportional to 7,804.37, 11,706.56 and 1,960.99 is: 2,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.37 : 11,706.56 = 1,960.99 : x
  2. Step 2: Convert to fraction form
    7,804.37/11,706.56 = 1,960.99/x
  3. Step 3: Cross multiply
    7,804.37x = 11,706.56 × 1,960.99
  4. Step 4: Simplify right side
    7,804.37x = 22,956,408.02
  5. Step 5: Solve for x
    x = 22,956,408.02/7,804.37
  6. Step 6: Final answer
    x = 2,941.48

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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.