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Finding the Fourth Proportional to 12,076.12, 16,664.08 and 6,770.21

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Solution

The fourth proportional to 12,076.12, 16,664.08 and 6,770.21 is: 9,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.12 : 16,664.08 = 6,770.21 : x
  2. Step 2: Convert to fraction form
    12,076.12/16,664.08 = 6,770.21/x
  3. Step 3: Cross multiply
    12,076.12x = 16,664.08 × 6,770.21
  4. Step 4: Simplify right side
    12,076.12x = 112,819,321.06
  5. Step 5: Solve for x
    x = 112,819,321.06/12,076.12
  6. Step 6: Final answer
    x = 9,342.35

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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.