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Finding the Fourth Proportional to 11,563.62, 17,342.28 and 3,243.12

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Solution

The fourth proportional to 11,563.62, 17,342.28 and 3,243.12 is: 4,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.62 : 17,342.28 = 3,243.12 : x
  2. Step 2: Convert to fraction form
    11,563.62/17,342.28 = 3,243.12/x
  3. Step 3: Cross multiply
    11,563.62x = 17,342.28 × 3,243.12
  4. Step 4: Simplify right side
    11,563.62x = 56,243,095.11
  5. Step 5: Solve for x
    x = 56,243,095.11/11,563.62
  6. Step 6: Final answer
    x = 4,863.80

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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.