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Finding the Fourth Proportional to 12,077.63, 16,666.16 and 6,771.72

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Solution

The fourth proportional to 12,077.63, 16,666.16 and 6,771.72 is: 9,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.63 : 16,666.16 = 6,771.72 : x
  2. Step 2: Convert to fraction form
    12,077.63/16,666.16 = 6,771.72/x
  3. Step 3: Cross multiply
    12,077.63x = 16,666.16 × 6,771.72
  4. Step 4: Simplify right side
    12,077.63x = 112,858,535.14
  5. Step 5: Solve for x
    x = 112,858,535.14/12,077.63
  6. Step 6: Final answer
    x = 9,344.43

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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.