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Finding the Fourth Proportional to 11,342, 17,020.30 and 4,416.50

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Solution

The fourth proportional to 11,342, 17,020.30 and 4,416.50 is: 6,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342 : 17,020.30 = 4,416.50 : x
  2. Step 2: Convert to fraction form
    11,342/17,020.30 = 4,416.50/x
  3. Step 3: Cross multiply
    11,342x = 17,020.30 × 4,416.50
  4. Step 4: Simplify right side
    11,342x = 75,170,154.95
  5. Step 5: Solve for x
    x = 75,170,154.95/11,342
  6. Step 6: Final answer
    x = 6,627.59

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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.