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Finding the Fourth Proportional to 11,798.93, 17,709.33 and 5,959.64

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Solution

The fourth proportional to 11,798.93, 17,709.33 and 5,959.64 is: 8,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.93 : 17,709.33 = 5,959.64 : x
  2. Step 2: Convert to fraction form
    11,798.93/17,709.33 = 5,959.64/x
  3. Step 3: Cross multiply
    11,798.93x = 17,709.33 × 5,959.64
  4. Step 4: Simplify right side
    11,798.93x = 105,541,231.44
  5. Step 5: Solve for x
    x = 105,541,231.44/11,798.93
  6. Step 6: Final answer
    x = 8,944.98

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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.