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Finding the Fourth Proportional to 12,112.99, 16,717.31 and 6,735.96

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Solution

The fourth proportional to 12,112.99, 16,717.31 and 6,735.96 is: 9,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.99 : 16,717.31 = 6,735.96 : x
  2. Step 2: Convert to fraction form
    12,112.99/16,717.31 = 6,735.96/x
  3. Step 3: Cross multiply
    12,112.99x = 16,717.31 × 6,735.96
  4. Step 4: Simplify right side
    12,112.99x = 112,607,014.20
  5. Step 5: Solve for x
    x = 112,607,014.20/12,112.99
  6. Step 6: Final answer
    x = 9,296.39

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Why These Related Problems?

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