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Finding the Fourth Proportional to 11,967.12, 17,946.36 and 5,042.16

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Solution

The fourth proportional to 11,967.12, 17,946.36 and 5,042.16 is: 7,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.12 : 17,946.36 = 5,042.16 : x
  2. Step 2: Convert to fraction form
    11,967.12/17,946.36 = 5,042.16/x
  3. Step 3: Cross multiply
    11,967.12x = 17,946.36 × 5,042.16
  4. Step 4: Simplify right side
    11,967.12x = 90,488,418.54
  5. Step 5: Solve for x
    x = 90,488,418.54/11,967.12
  6. Step 6: Final answer
    x = 7,561.42

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