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Finding the Fourth Proportional to 11,615.64, 17,424.90 and 3,827.16

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Solution

The fourth proportional to 11,615.64, 17,424.90 and 3,827.16 is: 5,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.64 : 17,424.90 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    11,615.64/17,424.90 = 3,827.16/x
  3. Step 3: Cross multiply
    11,615.64x = 17,424.90 × 3,827.16
  4. Step 4: Simplify right side
    11,615.64x = 66,687,880.28
  5. Step 5: Solve for x
    x = 66,687,880.28/11,615.64
  6. Step 6: Final answer
    x = 5,741.21

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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.