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Finding the Fourth Proportional to 11,604.57, 17,406.32 and 2,839.02

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Solution

The fourth proportional to 11,604.57, 17,406.32 and 2,839.02 is: 4,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.57 : 17,406.32 = 2,839.02 : x
  2. Step 2: Convert to fraction form
    11,604.57/17,406.32 = 2,839.02/x
  3. Step 3: Cross multiply
    11,604.57x = 17,406.32 × 2,839.02
  4. Step 4: Simplify right side
    11,604.57x = 49,416,876.41
  5. Step 5: Solve for x
    x = 49,416,876.41/11,604.57
  6. Step 6: Final answer
    x = 4,258.40

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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.