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Finding the Fourth Proportional to 7,912.63, 11,866.10 and 2,364.94

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Solution

The fourth proportional to 7,912.63, 11,866.10 and 2,364.94 is: 3,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.63 : 11,866.10 = 2,364.94 : x
  2. Step 2: Convert to fraction form
    7,912.63/11,866.10 = 2,364.94/x
  3. Step 3: Cross multiply
    7,912.63x = 11,866.10 × 2,364.94
  4. Step 4: Simplify right side
    7,912.63x = 28,062,614.53
  5. Step 5: Solve for x
    x = 28,062,614.53/7,912.63
  6. Step 6: Final answer
    x = 3,546.56

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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.