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Finding the Fourth Proportional to 11,825.68, 17,744.54 and 7,879.64

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Solution

The fourth proportional to 11,825.68, 17,744.54 and 7,879.64 is: 11,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.68 : 17,744.54 = 7,879.64 : x
  2. Step 2: Convert to fraction form
    11,825.68/17,744.54 = 7,879.64/x
  3. Step 3: Cross multiply
    11,825.68x = 17,744.54 × 7,879.64
  4. Step 4: Simplify right side
    11,825.68x = 139,820,587.17
  5. Step 5: Solve for x
    x = 139,820,587.17/11,825.68
  6. Step 6: Final answer
    x = 11,823.47

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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.