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Finding the Fourth Proportional to 12,077.64, 16,666.14 and 6,771.72

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Solution

The fourth proportional to 12,077.64, 16,666.14 and 6,771.72 is: 9,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.64 : 16,666.14 = 6,771.72 : x
  2. Step 2: Convert to fraction form
    12,077.64/16,666.14 = 6,771.72/x
  3. Step 3: Cross multiply
    12,077.64x = 16,666.14 × 6,771.72
  4. Step 4: Simplify right side
    12,077.64x = 112,858,433.56
  5. Step 5: Solve for x
    x = 112,858,433.56/12,077.64
  6. Step 6: Final answer
    x = 9,344.41

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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.