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Finding the Fourth Proportional to 10,930.80, 16,361.64 and 7,800.72

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Solution

The fourth proportional to 10,930.80, 16,361.64 and 7,800.72 is: 11,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.80 : 16,361.64 = 7,800.72 : x
  2. Step 2: Convert to fraction form
    10,930.80/16,361.64 = 7,800.72/x
  3. Step 3: Cross multiply
    10,930.80x = 16,361.64 × 7,800.72
  4. Step 4: Simplify right side
    10,930.80x = 127,632,572.38
  5. Step 5: Solve for x
    x = 127,632,572.38/10,930.80
  6. Step 6: Final answer
    x = 11,676.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.