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Finding the Fourth Proportional to 7,893.56, 11,842.25 and 2,963.25

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Solution

The fourth proportional to 7,893.56, 11,842.25 and 2,963.25 is: 4,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.56 : 11,842.25 = 2,963.25 : x
  2. Step 2: Convert to fraction form
    7,893.56/11,842.25 = 2,963.25/x
  3. Step 3: Cross multiply
    7,893.56x = 11,842.25 × 2,963.25
  4. Step 4: Simplify right side
    7,893.56x = 35,091,532.50
  5. Step 5: Solve for x
    x = 35,091,532.50/7,893.56
  6. Step 6: Final answer
    x = 4,445.59

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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.