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Finding the Fourth Proportional to 10,672.14, 16,009.11 and 3,651.90

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Solution

The fourth proportional to 10,672.14, 16,009.11 and 3,651.90 is: 5,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.14 : 16,009.11 = 3,651.90 : x
  2. Step 2: Convert to fraction form
    10,672.14/16,009.11 = 3,651.90/x
  3. Step 3: Cross multiply
    10,672.14x = 16,009.11 × 3,651.90
  4. Step 4: Simplify right side
    10,672.14x = 58,463,668.81
  5. Step 5: Solve for x
    x = 58,463,668.81/10,672.14
  6. Step 6: Final answer
    x = 5,478.16

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Why These Related Problems?

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