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Finding the Fourth Proportional to 11,668.75, 16,102.29 and 6,632.30

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Solution

The fourth proportional to 11,668.75, 16,102.29 and 6,632.30 is: 9,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.75 : 16,102.29 = 6,632.30 : x
  2. Step 2: Convert to fraction form
    11,668.75/16,102.29 = 6,632.30/x
  3. Step 3: Cross multiply
    11,668.75x = 16,102.29 × 6,632.30
  4. Step 4: Simplify right side
    11,668.75x = 106,795,217.97
  5. Step 5: Solve for x
    x = 106,795,217.97/11,668.75
  6. Step 6: Final answer
    x = 9,152.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.