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Finding the Fourth Proportional to 11,751.95, 17,633.99 and 7,805.93

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Solution

The fourth proportional to 11,751.95, 17,633.99 and 7,805.93 is: 11,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.95 : 17,633.99 = 7,805.93 : x
  2. Step 2: Convert to fraction form
    11,751.95/17,633.99 = 7,805.93/x
  3. Step 3: Cross multiply
    11,751.95x = 17,633.99 × 7,805.93
  4. Step 4: Simplify right side
    11,751.95x = 137,649,691.56
  5. Step 5: Solve for x
    x = 137,649,691.56/11,751.95
  6. Step 6: Final answer
    x = 11,712.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.