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Finding the Fourth Proportional to 10,096.43, 13,933.21 and 5,559.65

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Solution

The fourth proportional to 10,096.43, 13,933.21 and 5,559.65 is: 7,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.43 : 13,933.21 = 5,559.65 : x
  2. Step 2: Convert to fraction form
    10,096.43/13,933.21 = 5,559.65/x
  3. Step 3: Cross multiply
    10,096.43x = 13,933.21 × 5,559.65
  4. Step 4: Simplify right side
    10,096.43x = 77,463,697.84
  5. Step 5: Solve for x
    x = 77,463,697.84/10,096.43
  6. Step 6: Final answer
    x = 7,672.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.