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Finding the Fourth Proportional to 11,568.33, 17,349.46 and 4,171.41

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Solution

The fourth proportional to 11,568.33, 17,349.46 and 4,171.41 is: 6,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.33 : 17,349.46 = 4,171.41 : x
  2. Step 2: Convert to fraction form
    11,568.33/17,349.46 = 4,171.41/x
  3. Step 3: Cross multiply
    11,568.33x = 17,349.46 × 4,171.41
  4. Step 4: Simplify right side
    11,568.33x = 72,371,700.51
  5. Step 5: Solve for x
    x = 72,371,700.51/11,568.33
  6. Step 6: Final answer
    x = 6,256.02

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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.