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Finding the Fourth Proportional to 11,405.46, 17,108.16 and 3,086.34

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Solution

The fourth proportional to 11,405.46, 17,108.16 and 3,086.34 is: 4,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.46 : 17,108.16 = 3,086.34 : x
  2. Step 2: Convert to fraction form
    11,405.46/17,108.16 = 3,086.34/x
  3. Step 3: Cross multiply
    11,405.46x = 17,108.16 × 3,086.34
  4. Step 4: Simplify right side
    11,405.46x = 52,801,598.53
  5. Step 5: Solve for x
    x = 52,801,598.53/11,405.46
  6. Step 6: Final answer
    x = 4,629.50

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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.