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Finding the Fourth Proportional to 11,955.65, 17,917.07 and 6,099.98

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Solution

The fourth proportional to 11,955.65, 17,917.07 and 6,099.98 is: 9,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.65 : 17,917.07 = 6,099.98 : x
  2. Step 2: Convert to fraction form
    11,955.65/17,917.07 = 6,099.98/x
  3. Step 3: Cross multiply
    11,955.65x = 17,917.07 × 6,099.98
  4. Step 4: Simplify right side
    11,955.65x = 109,293,648.57
  5. Step 5: Solve for x
    x = 109,293,648.57/11,955.65
  6. Step 6: Final answer
    x = 9,141.59

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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.