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Finding the Fourth Proportional to 6,755.38, 10,129.56 and 3,055.84

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Solution

The fourth proportional to 6,755.38, 10,129.56 and 3,055.84 is: 4,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.38 : 10,129.56 = 3,055.84 : x
  2. Step 2: Convert to fraction form
    6,755.38/10,129.56 = 3,055.84/x
  3. Step 3: Cross multiply
    6,755.38x = 10,129.56 × 3,055.84
  4. Step 4: Simplify right side
    6,755.38x = 30,954,314.63
  5. Step 5: Solve for x
    x = 30,954,314.63/6,755.38
  6. Step 6: Final answer
    x = 4,582.17

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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.