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Finding the Fourth Proportional to 11,486.81, 17,233.70 and 3,589.02

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Solution

The fourth proportional to 11,486.81, 17,233.70 and 3,589.02 is: 5,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.81 : 17,233.70 = 3,589.02 : x
  2. Step 2: Convert to fraction form
    11,486.81/17,233.70 = 3,589.02/x
  3. Step 3: Cross multiply
    11,486.81x = 17,233.70 × 3,589.02
  4. Step 4: Simplify right side
    11,486.81x = 61,852,076.03
  5. Step 5: Solve for x
    x = 61,852,076.03/11,486.81
  6. Step 6: Final answer
    x = 5,384.62

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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.