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Finding the Fourth Proportional to 11,968.62, 17,953.62 and 3,648.93

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Solution

The fourth proportional to 11,968.62, 17,953.62 and 3,648.93 is: 5,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.62 : 17,953.62 = 3,648.93 : x
  2. Step 2: Convert to fraction form
    11,968.62/17,953.62 = 3,648.93/x
  3. Step 3: Cross multiply
    11,968.62x = 17,953.62 × 3,648.93
  4. Step 4: Simplify right side
    11,968.62x = 65,511,502.63
  5. Step 5: Solve for x
    x = 65,511,502.63/11,968.62
  6. Step 6: Final answer
    x = 5,473.61

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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.