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Finding the Fourth Proportional to 10,062.54, 13,885.20 and 5,755.68

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Solution

The fourth proportional to 10,062.54, 13,885.20 and 5,755.68 is: 7,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.54 : 13,885.20 = 5,755.68 : x
  2. Step 2: Convert to fraction form
    10,062.54/13,885.20 = 5,755.68/x
  3. Step 3: Cross multiply
    10,062.54x = 13,885.20 × 5,755.68
  4. Step 4: Simplify right side
    10,062.54x = 79,918,767.94
  5. Step 5: Solve for x
    x = 79,918,767.94/10,062.54
  6. Step 6: Final answer
    x = 7,942.21

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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.