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Finding the Fourth Proportional to 12,076.72, 16,666.16 and 6,771.42

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Solution

The fourth proportional to 12,076.72, 16,666.16 and 6,771.42 is: 9,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.72 : 16,666.16 = 6,771.42 : x
  2. Step 2: Convert to fraction form
    12,076.72/16,666.16 = 6,771.42/x
  3. Step 3: Cross multiply
    12,076.72x = 16,666.16 × 6,771.42
  4. Step 4: Simplify right side
    12,076.72x = 112,853,535.29
  5. Step 5: Solve for x
    x = 112,853,535.29/12,076.72
  6. Step 6: Final answer
    x = 9,344.72

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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.