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Finding the Fourth Proportional to 11,945.99, 16,485.84 and 7,164.29

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Solution

The fourth proportional to 11,945.99, 16,485.84 and 7,164.29 is: 9,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.99 : 16,485.84 = 7,164.29 : x
  2. Step 2: Convert to fraction form
    11,945.99/16,485.84 = 7,164.29/x
  3. Step 3: Cross multiply
    11,945.99x = 16,485.84 × 7,164.29
  4. Step 4: Simplify right side
    11,945.99x = 118,109,256.22
  5. Step 5: Solve for x
    x = 118,109,256.22/11,945.99
  6. Step 6: Final answer
    x = 9,886.94

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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.