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Finding the Fourth Proportional to 11,576.68, 17,349.06 and 6,019

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Solution

The fourth proportional to 11,576.68, 17,349.06 and 6,019 is: 9,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.68 : 17,349.06 = 6,019 : x
  2. Step 2: Convert to fraction form
    11,576.68/17,349.06 = 6,019/x
  3. Step 3: Cross multiply
    11,576.68x = 17,349.06 × 6,019
  4. Step 4: Simplify right side
    11,576.68x = 104,423,992.14
  5. Step 5: Solve for x
    x = 104,423,992.14/11,576.68
  6. Step 6: Final answer
    x = 9,020.20

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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.