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Finding the Fourth Proportional to 11,462, 17,189.40 and 4,441.53

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Solution

The fourth proportional to 11,462, 17,189.40 and 4,441.53 is: 6,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462 : 17,189.40 = 4,441.53 : x
  2. Step 2: Convert to fraction form
    11,462/17,189.40 = 4,441.53/x
  3. Step 3: Cross multiply
    11,462x = 17,189.40 × 4,441.53
  4. Step 4: Simplify right side
    11,462x = 76,347,235.78
  5. Step 5: Solve for x
    x = 76,347,235.78/11,462
  6. Step 6: Final answer
    x = 6,660.90

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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.