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Finding the Fourth Proportional to 10,406.94, 15,609.79 and 3,011.23

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Solution

The fourth proportional to 10,406.94, 15,609.79 and 3,011.23 is: 4,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.94 : 15,609.79 = 3,011.23 : x
  2. Step 2: Convert to fraction form
    10,406.94/15,609.79 = 3,011.23/x
  3. Step 3: Cross multiply
    10,406.94x = 15,609.79 × 3,011.23
  4. Step 4: Simplify right side
    10,406.94x = 47,004,667.94
  5. Step 5: Solve for x
    x = 47,004,667.94/10,406.94
  6. Step 6: Final answer
    x = 4,516.67

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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.