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Finding the Fourth Proportional to 11,422.76, 17,135.19 and 3,102.80

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Solution

The fourth proportional to 11,422.76, 17,135.19 and 3,102.80 is: 4,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.76 : 17,135.19 = 3,102.80 : x
  2. Step 2: Convert to fraction form
    11,422.76/17,135.19 = 3,102.80/x
  3. Step 3: Cross multiply
    11,422.76x = 17,135.19 × 3,102.80
  4. Step 4: Simplify right side
    11,422.76x = 53,166,981.86
  5. Step 5: Solve for x
    x = 53,166,981.86/11,422.76
  6. Step 6: Final answer
    x = 4,654.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.