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Finding the Fourth Proportional to 11,959.85, 17,941.43 and 5,295.83

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Solution

The fourth proportional to 11,959.85, 17,941.43 and 5,295.83 is: 7,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.85 : 17,941.43 = 5,295.83 : x
  2. Step 2: Convert to fraction form
    11,959.85/17,941.43 = 5,295.83/x
  3. Step 3: Cross multiply
    11,959.85x = 17,941.43 × 5,295.83
  4. Step 4: Simplify right side
    11,959.85x = 95,014,686.77
  5. Step 5: Solve for x
    x = 95,014,686.77/11,959.85
  6. Step 6: Final answer
    x = 7,944.47

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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.