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Finding the Fourth Proportional to 12,892, 17,793.48 and 7,303

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Solution

The fourth proportional to 12,892, 17,793.48 and 7,303 is: 10,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892 : 17,793.48 = 7,303 : x
  2. Step 2: Convert to fraction form
    12,892/17,793.48 = 7,303/x
  3. Step 3: Cross multiply
    12,892x = 17,793.48 × 7,303
  4. Step 4: Simplify right side
    12,892x = 129,945,784.44
  5. Step 5: Solve for x
    x = 129,945,784.44/12,892
  6. Step 6: Final answer
    x = 10,079.57

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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.