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Finding the Fourth Proportional to 12,090.06, 16,686 and 6,786.18

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Solution

The fourth proportional to 12,090.06, 16,686 and 6,786.18 is: 9,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.06 : 16,686 = 6,786.18 : x
  2. Step 2: Convert to fraction form
    12,090.06/16,686 = 6,786.18/x
  3. Step 3: Cross multiply
    12,090.06x = 16,686 × 6,786.18
  4. Step 4: Simplify right side
    12,090.06x = 113,234,199.48
  5. Step 5: Solve for x
    x = 113,234,199.48/12,090.06
  6. Step 6: Final answer
    x = 9,365.89

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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.