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Finding the Fourth Proportional to 7,881, 11,819.70 and 2,951.16

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Solution

The fourth proportional to 7,881, 11,819.70 and 2,951.16 is: 4,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 11,819.70 = 2,951.16 : x
  2. Step 2: Convert to fraction form
    7,881/11,819.70 = 2,951.16/x
  3. Step 3: Cross multiply
    7,881x = 11,819.70 × 2,951.16
  4. Step 4: Simplify right side
    7,881x = 34,881,825.85
  5. Step 5: Solve for x
    x = 34,881,825.85/7,881
  6. Step 6: Final answer
    x = 4,426.07

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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.