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Finding the Fourth Proportional to 12,077.86, 16,666.32 and 6,771.55

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Solution

The fourth proportional to 12,077.86, 16,666.32 and 6,771.55 is: 9,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.86 : 16,666.32 = 6,771.55 : x
  2. Step 2: Convert to fraction form
    12,077.86/16,666.32 = 6,771.55/x
  3. Step 3: Cross multiply
    12,077.86x = 16,666.32 × 6,771.55
  4. Step 4: Simplify right side
    12,077.86x = 112,856,819.20
  5. Step 5: Solve for x
    x = 112,856,819.20/12,077.86
  6. Step 6: Final answer
    x = 9,344.11

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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.