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Finding the Fourth Proportional to 11,478.15, 17,214.39 and 3,157.77

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Solution

The fourth proportional to 11,478.15, 17,214.39 and 3,157.77 is: 4,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.15 : 17,214.39 = 3,157.77 : x
  2. Step 2: Convert to fraction form
    11,478.15/17,214.39 = 3,157.77/x
  3. Step 3: Cross multiply
    11,478.15x = 17,214.39 × 3,157.77
  4. Step 4: Simplify right side
    11,478.15x = 54,359,084.31
  5. Step 5: Solve for x
    x = 54,359,084.31/11,478.15
  6. Step 6: Final answer
    x = 4,735.88

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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.