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Finding the Fourth Proportional to 10,669.70, 16,004.55 and 6,791.30

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Solution

The fourth proportional to 10,669.70, 16,004.55 and 6,791.30 is: 10,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.70 : 16,004.55 = 6,791.30 : x
  2. Step 2: Convert to fraction form
    10,669.70/16,004.55 = 6,791.30/x
  3. Step 3: Cross multiply
    10,669.70x = 16,004.55 × 6,791.30
  4. Step 4: Simplify right side
    10,669.70x = 108,691,700.42
  5. Step 5: Solve for x
    x = 108,691,700.42/10,669.70
  6. Step 6: Final answer
    x = 10,186.95

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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.