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Finding the Fourth Proportional to 11,662.20, 17,488.94 and 3,762.72

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Solution

The fourth proportional to 11,662.20, 17,488.94 and 3,762.72 is: 5,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.20 : 17,488.94 = 3,762.72 : x
  2. Step 2: Convert to fraction form
    11,662.20/17,488.94 = 3,762.72/x
  3. Step 3: Cross multiply
    11,662.20x = 17,488.94 × 3,762.72
  4. Step 4: Simplify right side
    11,662.20x = 65,805,965.50
  5. Step 5: Solve for x
    x = 65,805,965.50/11,662.20
  6. Step 6: Final answer
    x = 5,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.