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Finding the Fourth Proportional to 11,429.84, 17,144.78 and 4,034.75

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Solution

The fourth proportional to 11,429.84, 17,144.78 and 4,034.75 is: 6,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.84 : 17,144.78 = 4,034.75 : x
  2. Step 2: Convert to fraction form
    11,429.84/17,144.78 = 4,034.75/x
  3. Step 3: Cross multiply
    11,429.84x = 17,144.78 × 4,034.75
  4. Step 4: Simplify right side
    11,429.84x = 69,174,795.21
  5. Step 5: Solve for x
    x = 69,174,795.21/11,429.84
  6. Step 6: Final answer
    x = 6,052.12

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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.