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Finding the Fourth Proportional to 10,546.38, 15,820.38 and 2,755.08

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Solution

The fourth proportional to 10,546.38, 15,820.38 and 2,755.08 is: 4,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.38 : 15,820.38 = 2,755.08 : x
  2. Step 2: Convert to fraction form
    10,546.38/15,820.38 = 2,755.08/x
  3. Step 3: Cross multiply
    10,546.38x = 15,820.38 × 2,755.08
  4. Step 4: Simplify right side
    10,546.38x = 43,586,412.53
  5. Step 5: Solve for x
    x = 43,586,412.53/10,546.38
  6. Step 6: Final answer
    x = 4,132.83

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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.