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Finding the Fourth Proportional to 11,048.71, 16,576.16 and 3,658.37

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Solution

The fourth proportional to 11,048.71, 16,576.16 and 3,658.37 is: 5,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.71 : 16,576.16 = 3,658.37 : x
  2. Step 2: Convert to fraction form
    11,048.71/16,576.16 = 3,658.37/x
  3. Step 3: Cross multiply
    11,048.71x = 16,576.16 × 3,658.37
  4. Step 4: Simplify right side
    11,048.71x = 60,641,687.45
  5. Step 5: Solve for x
    x = 60,641,687.45/11,048.71
  6. Step 6: Final answer
    x = 5,488.58

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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.