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Finding the Fourth Proportional to 7,315.99, 10,096.74 and 4,173.19

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Solution

The fourth proportional to 7,315.99, 10,096.74 and 4,173.19 is: 5,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.99 : 10,096.74 = 4,173.19 : x
  2. Step 2: Convert to fraction form
    7,315.99/10,096.74 = 4,173.19/x
  3. Step 3: Cross multiply
    7,315.99x = 10,096.74 × 4,173.19
  4. Step 4: Simplify right side
    7,315.99x = 42,135,614.40
  5. Step 5: Solve for x
    x = 42,135,614.40/7,315.99
  6. Step 6: Final answer
    x = 5,759.39

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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.