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Finding the Fourth Proportional to 10,855.38, 16,262.03 and 7,146.44

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Solution

The fourth proportional to 10,855.38, 16,262.03 and 7,146.44 is: 10,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.38 : 16,262.03 = 7,146.44 : x
  2. Step 2: Convert to fraction form
    10,855.38/16,262.03 = 7,146.44/x
  3. Step 3: Cross multiply
    10,855.38x = 16,262.03 × 7,146.44
  4. Step 4: Simplify right side
    10,855.38x = 116,215,504.63
  5. Step 5: Solve for x
    x = 116,215,504.63/10,855.38
  6. Step 6: Final answer
    x = 10,705.80

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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.