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Finding the Fourth Proportional to 11,894.37, 17,825.80 and 6,335.74

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Solution

The fourth proportional to 11,894.37, 17,825.80 and 6,335.74 is: 9,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.37 : 17,825.80 = 6,335.74 : x
  2. Step 2: Convert to fraction form
    11,894.37/17,825.80 = 6,335.74/x
  3. Step 3: Cross multiply
    11,894.37x = 17,825.80 × 6,335.74
  4. Step 4: Simplify right side
    11,894.37x = 112,939,634.09
  5. Step 5: Solve for x
    x = 112,939,634.09/11,894.37
  6. Step 6: Final answer
    x = 9,495.22

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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.