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Finding the Fourth Proportional to 10,638.71, 15,958.04 and 2,847.32

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Solution

The fourth proportional to 10,638.71, 15,958.04 and 2,847.32 is: 4,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.71 : 15,958.04 = 2,847.32 : x
  2. Step 2: Convert to fraction form
    10,638.71/15,958.04 = 2,847.32/x
  3. Step 3: Cross multiply
    10,638.71x = 15,958.04 × 2,847.32
  4. Step 4: Simplify right side
    10,638.71x = 45,437,552.43
  5. Step 5: Solve for x
    x = 45,437,552.43/10,638.71
  6. Step 6: Final answer
    x = 4,270.97

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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.