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Finding the Fourth Proportional to 11,597.90, 17,406.07 and 4,204.46

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Solution

The fourth proportional to 11,597.90, 17,406.07 and 4,204.46 is: 6,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.90 : 17,406.07 = 4,204.46 : x
  2. Step 2: Convert to fraction form
    11,597.90/17,406.07 = 4,204.46/x
  3. Step 3: Cross multiply
    11,597.90x = 17,406.07 × 4,204.46
  4. Step 4: Simplify right side
    11,597.90x = 73,183,158.08
  5. Step 5: Solve for x
    x = 73,183,158.08/11,597.90
  6. Step 6: Final answer
    x = 6,310.04

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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.