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Finding the Fourth Proportional to 7,313.38, 10,092.53 and 4,169.77

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Solution

The fourth proportional to 7,313.38, 10,092.53 and 4,169.77 is: 5,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.38 : 10,092.53 = 4,169.77 : x
  2. Step 2: Convert to fraction form
    7,313.38/10,092.53 = 4,169.77/x
  3. Step 3: Cross multiply
    7,313.38x = 10,092.53 × 4,169.77
  4. Step 4: Simplify right side
    7,313.38x = 42,083,528.82
  5. Step 5: Solve for x
    x = 42,083,528.82/7,313.38
  6. Step 6: Final answer
    x = 5,754.32

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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.