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Finding the Fourth Proportional to 11,900.16, 17,851.11 and 3,135

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Solution

The fourth proportional to 11,900.16, 17,851.11 and 3,135 is: 4,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.16 : 17,851.11 = 3,135 : x
  2. Step 2: Convert to fraction form
    11,900.16/17,851.11 = 3,135/x
  3. Step 3: Cross multiply
    11,900.16x = 17,851.11 × 3,135
  4. Step 4: Simplify right side
    11,900.16x = 55,963,229.85
  5. Step 5: Solve for x
    x = 55,963,229.85/11,900.16
  6. Step 6: Final answer
    x = 4,702.73

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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.