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Finding the Fourth Proportional to 11,955.69, 16,483.32 and 7,973.73

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Solution

The fourth proportional to 11,955.69, 16,483.32 and 7,973.73 is: 10,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.69 : 16,483.32 = 7,973.73 : x
  2. Step 2: Convert to fraction form
    11,955.69/16,483.32 = 7,973.73/x
  3. Step 3: Cross multiply
    11,955.69x = 16,483.32 × 7,973.73
  4. Step 4: Simplify right side
    11,955.69x = 131,433,543.18
  5. Step 5: Solve for x
    x = 131,433,543.18/11,955.69
  6. Step 6: Final answer
    x = 10,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.