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Finding the Fourth Proportional to 7,874.42, 11,811.62 and 2,943.95

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Solution

The fourth proportional to 7,874.42, 11,811.62 and 2,943.95 is: 4,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.42 : 11,811.62 = 2,943.95 : x
  2. Step 2: Convert to fraction form
    7,874.42/11,811.62 = 2,943.95/x
  3. Step 3: Cross multiply
    7,874.42x = 11,811.62 × 2,943.95
  4. Step 4: Simplify right side
    7,874.42x = 34,772,767.00
  5. Step 5: Solve for x
    x = 34,772,767.00/7,874.42
  6. Step 6: Final answer
    x = 4,415.92

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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.