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Finding the Fourth Proportional to 7,942.60, 10,962.21 and 4,584.97

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Solution

The fourth proportional to 7,942.60, 10,962.21 and 4,584.97 is: 6,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.60 : 10,962.21 = 4,584.97 : x
  2. Step 2: Convert to fraction form
    7,942.60/10,962.21 = 4,584.97/x
  3. Step 3: Cross multiply
    7,942.60x = 10,962.21 × 4,584.97
  4. Step 4: Simplify right side
    7,942.60x = 50,261,403.98
  5. Step 5: Solve for x
    x = 50,261,403.98/7,942.60
  6. Step 6: Final answer
    x = 6,328.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.