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Finding the Fourth Proportional to 11,394.25, 17,086.34 and 5,154.01

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Solution

The fourth proportional to 11,394.25, 17,086.34 and 5,154.01 is: 7,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.25 : 17,086.34 = 5,154.01 : x
  2. Step 2: Convert to fraction form
    11,394.25/17,086.34 = 5,154.01/x
  3. Step 3: Cross multiply
    11,394.25x = 17,086.34 × 5,154.01
  4. Step 4: Simplify right side
    11,394.25x = 88,063,137.39
  5. Step 5: Solve for x
    x = 88,063,137.39/11,394.25
  6. Step 6: Final answer
    x = 7,728.74

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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.