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Finding the Fourth Proportional to 11,025.14, 16,537.71 and 5,485.42

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Solution

The fourth proportional to 11,025.14, 16,537.71 and 5,485.42 is: 8,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,025.14 : 16,537.71 = 5,485.42 : x
  2. Step 2: Convert to fraction form
    11,025.14/16,537.71 = 5,485.42/x
  3. Step 3: Cross multiply
    11,025.14x = 16,537.71 × 5,485.42
  4. Step 4: Simplify right side
    11,025.14x = 90,716,202.50
  5. Step 5: Solve for x
    x = 90,716,202.50/11,025.14
  6. Step 6: Final answer
    x = 8,228.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.