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Finding the Fourth Proportional to 10,638.94, 15,958.41 and 2,847.55

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Solution

The fourth proportional to 10,638.94, 15,958.41 and 2,847.55 is: 4,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.94 : 15,958.41 = 2,847.55 : x
  2. Step 2: Convert to fraction form
    10,638.94/15,958.41 = 2,847.55/x
  3. Step 3: Cross multiply
    10,638.94x = 15,958.41 × 2,847.55
  4. Step 4: Simplify right side
    10,638.94x = 45,442,370.40
  5. Step 5: Solve for x
    x = 45,442,370.40/10,638.94
  6. Step 6: Final answer
    x = 4,271.33

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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.