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Finding the Fourth Proportional to 11,776.43, 16,256.10 and 7,059.80

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Solution

The fourth proportional to 11,776.43, 16,256.10 and 7,059.80 is: 9,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.43 : 16,256.10 = 7,059.80 : x
  2. Step 2: Convert to fraction form
    11,776.43/16,256.10 = 7,059.80/x
  3. Step 3: Cross multiply
    11,776.43x = 16,256.10 × 7,059.80
  4. Step 4: Simplify right side
    11,776.43x = 114,764,814.78
  5. Step 5: Solve for x
    x = 114,764,814.78/11,776.43
  6. Step 6: Final answer
    x = 9,745.30

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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.