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Finding the Fourth Proportional to 8,146.68, 11,243.14 and 4,611.04

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Solution

The fourth proportional to 8,146.68, 11,243.14 and 4,611.04 is: 6,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.68 : 11,243.14 = 4,611.04 : x
  2. Step 2: Convert to fraction form
    8,146.68/11,243.14 = 4,611.04/x
  3. Step 3: Cross multiply
    8,146.68x = 11,243.14 × 4,611.04
  4. Step 4: Simplify right side
    8,146.68x = 51,842,568.27
  5. Step 5: Solve for x
    x = 51,842,568.27/8,146.68
  6. Step 6: Final answer
    x = 6,363.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.