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Finding the Fourth Proportional to 11,959.67, 17,945.66 and 5,384.32

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Solution

The fourth proportional to 11,959.67, 17,945.66 and 5,384.32 is: 8,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.67 : 17,945.66 = 5,384.32 : x
  2. Step 2: Convert to fraction form
    11,959.67/17,945.66 = 5,384.32/x
  3. Step 3: Cross multiply
    11,959.67x = 17,945.66 × 5,384.32
  4. Step 4: Simplify right side
    11,959.67x = 96,625,144.65
  5. Step 5: Solve for x
    x = 96,625,144.65/11,959.67
  6. Step 6: Final answer
    x = 8,079.25

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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.