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Finding the Fourth Proportional to 11,615.16, 17,423.52 and 3,824.04

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Solution

The fourth proportional to 11,615.16, 17,423.52 and 3,824.04 is: 5,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.16 : 17,423.52 = 3,824.04 : x
  2. Step 2: Convert to fraction form
    11,615.16/17,423.52 = 3,824.04/x
  3. Step 3: Cross multiply
    11,615.16x = 17,423.52 × 3,824.04
  4. Step 4: Simplify right side
    11,615.16x = 66,628,237.42
  5. Step 5: Solve for x
    x = 66,628,237.42/11,615.16
  6. Step 6: Final answer
    x = 5,736.32

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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.