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Finding the Fourth Proportional to 11,589.12, 15,986.16 and 8,004.96

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Solution

The fourth proportional to 11,589.12, 15,986.16 and 8,004.96 is: 11,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.12 : 15,986.16 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    11,589.12/15,986.16 = 8,004.96/x
  3. Step 3: Cross multiply
    11,589.12x = 15,986.16 × 8,004.96
  4. Step 4: Simplify right side
    11,589.12x = 127,968,571.35
  5. Step 5: Solve for x
    x = 127,968,571.35/11,589.12
  6. Step 6: Final answer
    x = 11,042.13

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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.