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Finding the Fourth Proportional to 12,164.69, 16,786.76 and 6,860.00

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Solution

The fourth proportional to 12,164.69, 16,786.76 and 6,860.00 is: 9,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.69 : 16,786.76 = 6,860.00 : x
  2. Step 2: Convert to fraction form
    12,164.69/16,786.76 = 6,860.00/x
  3. Step 3: Cross multiply
    12,164.69x = 16,786.76 × 6,860.00
  4. Step 4: Simplify right side
    12,164.69x = 115,157,055.37
  5. Step 5: Solve for x
    x = 115,157,055.37/12,164.69
  6. Step 6: Final answer
    x = 9,466.51

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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.