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Finding the Fourth Proportional to 11,980.98, 16,533.91 and 6,945.48

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Solution

The fourth proportional to 11,980.98, 16,533.91 and 6,945.48 is: 9,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.98 : 16,533.91 = 6,945.48 : x
  2. Step 2: Convert to fraction form
    11,980.98/16,533.91 = 6,945.48/x
  3. Step 3: Cross multiply
    11,980.98x = 16,533.91 × 6,945.48
  4. Step 4: Simplify right side
    11,980.98x = 114,835,941.23
  5. Step 5: Solve for x
    x = 114,835,941.23/11,980.98
  6. Step 6: Final answer
    x = 9,584.85

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