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Finding the Fourth Proportional to 11,762.23, 17,650.66 and 7,328.60

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Solution

The fourth proportional to 11,762.23, 17,650.66 and 7,328.60 is: 10,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.23 : 17,650.66 = 7,328.60 : x
  2. Step 2: Convert to fraction form
    11,762.23/17,650.66 = 7,328.60/x
  3. Step 3: Cross multiply
    11,762.23x = 17,650.66 × 7,328.60
  4. Step 4: Simplify right side
    11,762.23x = 129,354,626.88
  5. Step 5: Solve for x
    x = 129,354,626.88/11,762.23
  6. Step 6: Final answer
    x = 10,997.46

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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.