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Finding the Fourth Proportional to 10,889.25, 16,302.89 and 7,180.16

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Solution

The fourth proportional to 10,889.25, 16,302.89 and 7,180.16 is: 10,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.25 : 16,302.89 = 7,180.16 : x
  2. Step 2: Convert to fraction form
    10,889.25/16,302.89 = 7,180.16/x
  3. Step 3: Cross multiply
    10,889.25x = 16,302.89 × 7,180.16
  4. Step 4: Simplify right side
    10,889.25x = 117,057,241.25
  5. Step 5: Solve for x
    x = 117,057,241.25/10,889.25
  6. Step 6: Final answer
    x = 10,749.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.