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Finding the Fourth Proportional to 11,469.90, 15,829.10 and 8,632.16

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Solution

The fourth proportional to 11,469.90, 15,829.10 and 8,632.16 is: 11,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.90 : 15,829.10 = 8,632.16 : x
  2. Step 2: Convert to fraction form
    11,469.90/15,829.10 = 8,632.16/x
  3. Step 3: Cross multiply
    11,469.90x = 15,829.10 × 8,632.16
  4. Step 4: Simplify right side
    11,469.90x = 136,639,323.86
  5. Step 5: Solve for x
    x = 136,639,323.86/11,469.90
  6. Step 6: Final answer
    x = 11,912.86

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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.