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Finding the Fourth Proportional to 11,598.27, 17,406.63 and 4,204.84

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Solution

The fourth proportional to 11,598.27, 17,406.63 and 4,204.84 is: 6,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.27 : 17,406.63 = 4,204.84 : x
  2. Step 2: Convert to fraction form
    11,598.27/17,406.63 = 4,204.84/x
  3. Step 3: Cross multiply
    11,598.27x = 17,406.63 × 4,204.84
  4. Step 4: Simplify right side
    11,598.27x = 73,192,094.09
  5. Step 5: Solve for x
    x = 73,192,094.09/11,598.27
  6. Step 6: Final answer
    x = 6,310.60

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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.