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Finding the Fourth Proportional to 11,730.12, 17,578.92 and 5,483.40

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Solution

The fourth proportional to 11,730.12, 17,578.92 and 5,483.40 is: 8,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.12 : 17,578.92 = 5,483.40 : x
  2. Step 2: Convert to fraction form
    11,730.12/17,578.92 = 5,483.40/x
  3. Step 3: Cross multiply
    11,730.12x = 17,578.92 × 5,483.40
  4. Step 4: Simplify right side
    11,730.12x = 96,392,249.93
  5. Step 5: Solve for x
    x = 96,392,249.93/11,730.12
  6. Step 6: Final answer
    x = 8,217.50

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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.