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Finding the Fourth Proportional to 11,858.26, 16,364.45 and 6,480.80

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Solution

The fourth proportional to 11,858.26, 16,364.45 and 6,480.80 is: 8,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.26 : 16,364.45 = 6,480.80 : x
  2. Step 2: Convert to fraction form
    11,858.26/16,364.45 = 6,480.80/x
  3. Step 3: Cross multiply
    11,858.26x = 16,364.45 × 6,480.80
  4. Step 4: Simplify right side
    11,858.26x = 106,054,736.07
  5. Step 5: Solve for x
    x = 106,054,736.07/11,858.26
  6. Step 6: Final answer
    x = 8,943.53

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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.