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Finding the Fourth Proportional to 7,943.56, 11,911.53 and 2,942.50

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Solution

The fourth proportional to 7,943.56, 11,911.53 and 2,942.50 is: 4,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.56 : 11,911.53 = 2,942.50 : x
  2. Step 2: Convert to fraction form
    7,943.56/11,911.53 = 2,942.50/x
  3. Step 3: Cross multiply
    7,943.56x = 11,911.53 × 2,942.50
  4. Step 4: Simplify right side
    7,943.56x = 35,049,705.84
  5. Step 5: Solve for x
    x = 35,049,705.84/7,943.56
  6. Step 6: Final answer
    x = 4,412.34

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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.