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Finding the Fourth Proportional to 11,959.90, 17,937.69 and 4,562.71

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Solution

The fourth proportional to 11,959.90, 17,937.69 and 4,562.71 is: 6,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.90 : 17,937.69 = 4,562.71 : x
  2. Step 2: Convert to fraction form
    11,959.90/17,937.69 = 4,562.71/x
  3. Step 3: Cross multiply
    11,959.90x = 17,937.69 × 4,562.71
  4. Step 4: Simplify right side
    11,959.90x = 81,844,477.54
  5. Step 5: Solve for x
    x = 81,844,477.54/11,959.90
  6. Step 6: Final answer
    x = 6,843.24

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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.