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Finding the Fourth Proportional to 11,884.52, 17,788.22 and 6,329.96

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Solution

The fourth proportional to 11,884.52, 17,788.22 and 6,329.96 is: 9,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.52 : 17,788.22 = 6,329.96 : x
  2. Step 2: Convert to fraction form
    11,884.52/17,788.22 = 6,329.96/x
  3. Step 3: Cross multiply
    11,884.52x = 17,788.22 × 6,329.96
  4. Step 4: Simplify right side
    11,884.52x = 112,598,721.07
  5. Step 5: Solve for x
    x = 112,598,721.07/11,884.52
  6. Step 6: Final answer
    x = 9,474.40

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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.