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Finding the Fourth Proportional to 10,672.30, 16,006.65 and 3,274.75

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Solution

The fourth proportional to 10,672.30, 16,006.65 and 3,274.75 is: 4,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.30 : 16,006.65 = 3,274.75 : x
  2. Step 2: Convert to fraction form
    10,672.30/16,006.65 = 3,274.75/x
  3. Step 3: Cross multiply
    10,672.30x = 16,006.65 × 3,274.75
  4. Step 4: Simplify right side
    10,672.30x = 52,417,777.09
  5. Step 5: Solve for x
    x = 52,417,777.09/10,672.30
  6. Step 6: Final answer
    x = 4,911.57

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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.