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Finding the Fourth Proportional to 12,161.25, 16,782.74 and 6,784.15

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Solution

The fourth proportional to 12,161.25, 16,782.74 and 6,784.15 is: 9,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.25 : 16,782.74 = 6,784.15 : x
  2. Step 2: Convert to fraction form
    12,161.25/16,782.74 = 6,784.15/x
  3. Step 3: Cross multiply
    12,161.25x = 16,782.74 × 6,784.15
  4. Step 4: Simplify right side
    12,161.25x = 113,856,625.57
  5. Step 5: Solve for x
    x = 113,856,625.57/12,161.25
  6. Step 6: Final answer
    x = 9,362.25

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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.