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Finding the Fourth Proportional to 12,786.59, 17,645.46 and 7,480.37

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Solution

The fourth proportional to 12,786.59, 17,645.46 and 7,480.37 is: 10,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.59 : 17,645.46 = 7,480.37 : x
  2. Step 2: Convert to fraction form
    12,786.59/17,645.46 = 7,480.37/x
  3. Step 3: Cross multiply
    12,786.59x = 17,645.46 × 7,480.37
  4. Step 4: Simplify right side
    12,786.59x = 131,994,569.62
  5. Step 5: Solve for x
    x = 131,994,569.62/12,786.59
  6. Step 6: Final answer
    x = 10,322.89

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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.