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Finding the Fourth Proportional to 11,980.55, 16,533.33 and 6,945.14

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Solution

The fourth proportional to 11,980.55, 16,533.33 and 6,945.14 is: 9,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.55 : 16,533.33 = 6,945.14 : x
  2. Step 2: Convert to fraction form
    11,980.55/16,533.33 = 6,945.14/x
  3. Step 3: Cross multiply
    11,980.55x = 16,533.33 × 6,945.14
  4. Step 4: Simplify right side
    11,980.55x = 114,826,291.52
  5. Step 5: Solve for x
    x = 114,826,291.52/11,980.55
  6. Step 6: Final answer
    x = 9,584.39

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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.