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Finding the Fourth Proportional to 11,445.16, 17,174.12 and 6,180.06

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Solution

The fourth proportional to 11,445.16, 17,174.12 and 6,180.06 is: 9,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.16 : 17,174.12 = 6,180.06 : x
  2. Step 2: Convert to fraction form
    11,445.16/17,174.12 = 6,180.06/x
  3. Step 3: Cross multiply
    11,445.16x = 17,174.12 × 6,180.06
  4. Step 4: Simplify right side
    11,445.16x = 106,137,107.50
  5. Step 5: Solve for x
    x = 106,137,107.50/11,445.16
  6. Step 6: Final answer
    x = 9,273.54

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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.