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Finding the Fourth Proportional to 12,786.13, 17,644.33 and 7,120.59

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Solution

The fourth proportional to 12,786.13, 17,644.33 and 7,120.59 is: 9,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.13 : 17,644.33 = 7,120.59 : x
  2. Step 2: Convert to fraction form
    12,786.13/17,644.33 = 7,120.59/x
  3. Step 3: Cross multiply
    12,786.13x = 17,644.33 × 7,120.59
  4. Step 4: Simplify right side
    12,786.13x = 125,638,039.75
  5. Step 5: Solve for x
    x = 125,638,039.75/12,786.13
  6. Step 6: Final answer
    x = 9,826.12

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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.