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Finding the Fourth Proportional to 12,161.76, 16,782.60 and 6,783.84

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Solution

The fourth proportional to 12,161.76, 16,782.60 and 6,783.84 is: 9,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.76 : 16,782.60 = 6,783.84 : x
  2. Step 2: Convert to fraction form
    12,161.76/16,782.60 = 6,783.84/x
  3. Step 3: Cross multiply
    12,161.76x = 16,782.60 × 6,783.84
  4. Step 4: Simplify right side
    12,161.76x = 113,850,473.18
  5. Step 5: Solve for x
    x = 113,850,473.18/12,161.76
  6. Step 6: Final answer
    x = 9,361.35

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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.