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Finding the Fourth Proportional to 7,976.84, 11,958.42 and 3,043

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Solution

The fourth proportional to 7,976.84, 11,958.42 and 3,043 is: 4,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.84 : 11,958.42 = 3,043 : x
  2. Step 2: Convert to fraction form
    7,976.84/11,958.42 = 3,043/x
  3. Step 3: Cross multiply
    7,976.84x = 11,958.42 × 3,043
  4. Step 4: Simplify right side
    7,976.84x = 36,389,472.06
  5. Step 5: Solve for x
    x = 36,389,472.06/7,976.84
  6. Step 6: Final answer
    x = 4,561.89

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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.