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Finding the Fourth Proportional to 8,546.76, 12,817.17 and 5,250.06

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Solution

The fourth proportional to 8,546.76, 12,817.17 and 5,250.06 is: 7,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.76 : 12,817.17 = 5,250.06 : x
  2. Step 2: Convert to fraction form
    8,546.76/12,817.17 = 5,250.06/x
  3. Step 3: Cross multiply
    8,546.76x = 12,817.17 × 5,250.06
  4. Step 4: Simplify right side
    8,546.76x = 67,290,911.53
  5. Step 5: Solve for x
    x = 67,290,911.53/8,546.76
  6. Step 6: Final answer
    x = 7,873.27

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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.