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Finding the Fourth Proportional to 11,729.10, 16,189.01 and 7,250.16

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Solution

The fourth proportional to 11,729.10, 16,189.01 and 7,250.16 is: 10,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.10 : 16,189.01 = 7,250.16 : x
  2. Step 2: Convert to fraction form
    11,729.10/16,189.01 = 7,250.16/x
  3. Step 3: Cross multiply
    11,729.10x = 16,189.01 × 7,250.16
  4. Step 4: Simplify right side
    11,729.10x = 117,372,876.49
  5. Step 5: Solve for x
    x = 117,372,876.49/11,729.10
  6. Step 6: Final answer
    x = 10,006.98

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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.