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Finding the Fourth Proportional to 11,576.72, 17,368.32 and 3,678.68

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Solution

The fourth proportional to 11,576.72, 17,368.32 and 3,678.68 is: 5,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.72 : 17,368.32 = 3,678.68 : x
  2. Step 2: Convert to fraction form
    11,576.72/17,368.32 = 3,678.68/x
  3. Step 3: Cross multiply
    11,576.72x = 17,368.32 × 3,678.68
  4. Step 4: Simplify right side
    11,576.72x = 63,892,491.42
  5. Step 5: Solve for x
    x = 63,892,491.42/11,576.72
  6. Step 6: Final answer
    x = 5,519.05

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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.