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Finding the Fourth Proportional to 7,293.63, 10,945.74 and 2,912.34

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Solution

The fourth proportional to 7,293.63, 10,945.74 and 2,912.34 is: 4,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.63 : 10,945.74 = 2,912.34 : x
  2. Step 2: Convert to fraction form
    7,293.63/10,945.74 = 2,912.34/x
  3. Step 3: Cross multiply
    7,293.63x = 10,945.74 × 2,912.34
  4. Step 4: Simplify right side
    7,293.63x = 31,877,716.43
  5. Step 5: Solve for x
    x = 31,877,716.43/7,293.63
  6. Step 6: Final answer
    x = 4,370.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.