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Finding the Fourth Proportional to 12,161.87, 16,783.34 and 6,784.31

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Solution

The fourth proportional to 12,161.87, 16,783.34 and 6,784.31 is: 9,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.87 : 16,783.34 = 6,784.31 : x
  2. Step 2: Convert to fraction form
    12,161.87/16,783.34 = 6,784.31/x
  3. Step 3: Cross multiply
    12,161.87x = 16,783.34 × 6,784.31
  4. Step 4: Simplify right side
    12,161.87x = 113,863,381.40
  5. Step 5: Solve for x
    x = 113,863,381.40/12,161.87
  6. Step 6: Final answer
    x = 9,362.33

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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.