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Finding the Fourth Proportional to 6,506.57, 9,761.20 and 2,611.28

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Solution

The fourth proportional to 6,506.57, 9,761.20 and 2,611.28 is: 3,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.57 : 9,761.20 = 2,611.28 : x
  2. Step 2: Convert to fraction form
    6,506.57/9,761.20 = 2,611.28/x
  3. Step 3: Cross multiply
    6,506.57x = 9,761.20 × 2,611.28
  4. Step 4: Simplify right side
    6,506.57x = 25,489,226.34
  5. Step 5: Solve for x
    x = 25,489,226.34/6,506.57
  6. Step 6: Final answer
    x = 3,917.46

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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.