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Finding the Fourth Proportional to 7,880.94, 11,823.12 and 3,934.44

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Solution

The fourth proportional to 7,880.94, 11,823.12 and 3,934.44 is: 5,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.94 : 11,823.12 = 3,934.44 : x
  2. Step 2: Convert to fraction form
    7,880.94/11,823.12 = 3,934.44/x
  3. Step 3: Cross multiply
    7,880.94x = 11,823.12 × 3,934.44
  4. Step 4: Simplify right side
    7,880.94x = 46,517,356.25
  5. Step 5: Solve for x
    x = 46,517,356.25/7,880.94
  6. Step 6: Final answer
    x = 5,902.51

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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.