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Finding the Fourth Proportional to 10,414.97, 15,619.01 and 3,019.67

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Solution

The fourth proportional to 10,414.97, 15,619.01 and 3,019.67 is: 4,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.97 : 15,619.01 = 3,019.67 : x
  2. Step 2: Convert to fraction form
    10,414.97/15,619.01 = 3,019.67/x
  3. Step 3: Cross multiply
    10,414.97x = 15,619.01 × 3,019.67
  4. Step 4: Simplify right side
    10,414.97x = 47,164,255.93
  5. Step 5: Solve for x
    x = 47,164,255.93/10,414.97
  6. Step 6: Final answer
    x = 4,528.51

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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.