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Finding the Fourth Proportional to 10,447.74, 15,675.03 and 3,874.41

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Solution

The fourth proportional to 10,447.74, 15,675.03 and 3,874.41 is: 5,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.74 : 15,675.03 = 3,874.41 : x
  2. Step 2: Convert to fraction form
    10,447.74/15,675.03 = 3,874.41/x
  3. Step 3: Cross multiply
    10,447.74x = 15,675.03 × 3,874.41
  4. Step 4: Simplify right side
    10,447.74x = 60,731,492.98
  5. Step 5: Solve for x
    x = 60,731,492.98/10,447.74
  6. Step 6: Final answer
    x = 5,812.88

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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.