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Finding the Fourth Proportional to 7,844.66, 11,766.08 and 2,912.98

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Solution

The fourth proportional to 7,844.66, 11,766.08 and 2,912.98 is: 4,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.66 : 11,766.08 = 2,912.98 : x
  2. Step 2: Convert to fraction form
    7,844.66/11,766.08 = 2,912.98/x
  3. Step 3: Cross multiply
    7,844.66x = 11,766.08 × 2,912.98
  4. Step 4: Simplify right side
    7,844.66x = 34,274,339.26
  5. Step 5: Solve for x
    x = 34,274,339.26/7,844.66
  6. Step 6: Final answer
    x = 4,369.13

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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.