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Finding the Fourth Proportional to 11,882.10, 17,823.42 and 3,562.32

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Solution

The fourth proportional to 11,882.10, 17,823.42 and 3,562.32 is: 5,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.10 : 17,823.42 = 3,562.32 : x
  2. Step 2: Convert to fraction form
    11,882.10/17,823.42 = 3,562.32/x
  3. Step 3: Cross multiply
    11,882.10x = 17,823.42 × 3,562.32
  4. Step 4: Simplify right side
    11,882.10x = 63,492,725.53
  5. Step 5: Solve for x
    x = 63,492,725.53/11,882.10
  6. Step 6: Final answer
    x = 5,343.56

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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.