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Finding the Fourth Proportional to 7,313.68, 10,092.90 and 4,169.80

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Solution

The fourth proportional to 7,313.68, 10,092.90 and 4,169.80 is: 5,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.68 : 10,092.90 = 4,169.80 : x
  2. Step 2: Convert to fraction form
    7,313.68/10,092.90 = 4,169.80/x
  3. Step 3: Cross multiply
    7,313.68x = 10,092.90 × 4,169.80
  4. Step 4: Simplify right side
    7,313.68x = 42,085,374.42
  5. Step 5: Solve for x
    x = 42,085,374.42/7,313.68
  6. Step 6: Final answer
    x = 5,754.34

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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.