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Finding the Fourth Proportional to 12,162.14, 16,783.25 and 6,858.06

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Solution

The fourth proportional to 12,162.14, 16,783.25 and 6,858.06 is: 9,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.14 : 16,783.25 = 6,858.06 : x
  2. Step 2: Convert to fraction form
    12,162.14/16,783.25 = 6,858.06/x
  3. Step 3: Cross multiply
    12,162.14x = 16,783.25 × 6,858.06
  4. Step 4: Simplify right side
    12,162.14x = 115,100,535.50
  5. Step 5: Solve for x
    x = 115,100,535.50/12,162.14
  6. Step 6: Final answer
    x = 9,463.84

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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.