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Finding the Fourth Proportional to 11,615.49, 16,042.59 and 7,832.16

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Solution

The fourth proportional to 11,615.49, 16,042.59 and 7,832.16 is: 10,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.49 : 16,042.59 = 7,832.16 : x
  2. Step 2: Convert to fraction form
    11,615.49/16,042.59 = 7,832.16/x
  3. Step 3: Cross multiply
    11,615.49x = 16,042.59 × 7,832.16
  4. Step 4: Simplify right side
    11,615.49x = 125,648,131.69
  5. Step 5: Solve for x
    x = 125,648,131.69/11,615.49
  6. Step 6: Final answer
    x = 10,817.29

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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.