Home / 11,738.80-16,191.12-7,543

Finding the Fourth Proportional to 11,738.80, 16,191.12 and 7,543

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Solution

The fourth proportional to 11,738.80, 16,191.12 and 7,543 is: 10,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.80 : 16,191.12 = 7,543 : x
  2. Step 2: Convert to fraction form
    11,738.80/16,191.12 = 7,543/x
  3. Step 3: Cross multiply
    11,738.80x = 16,191.12 × 7,543
  4. Step 4: Simplify right side
    11,738.80x = 122,129,618.16
  5. Step 5: Solve for x
    x = 122,129,618.16/11,738.80
  6. Step 6: Final answer
    x = 10,403.93

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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.