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Finding the Fourth Proportional to 8,546.16, 12,817.86 and 2,701.44

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Solution

The fourth proportional to 8,546.16, 12,817.86 and 2,701.44 is: 4,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.16 : 12,817.86 = 2,701.44 : x
  2. Step 2: Convert to fraction form
    8,546.16/12,817.86 = 2,701.44/x
  3. Step 3: Cross multiply
    8,546.16x = 12,817.86 × 2,701.44
  4. Step 4: Simplify right side
    8,546.16x = 34,626,679.72
  5. Step 5: Solve for x
    x = 34,626,679.72/8,546.16
  6. Step 6: Final answer
    x = 4,051.72

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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.