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Finding the Fourth Proportional to 8,350.26, 12,527.31 and 2,506.98

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Solution

The fourth proportional to 8,350.26, 12,527.31 and 2,506.98 is: 3,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.26 : 12,527.31 = 2,506.98 : x
  2. Step 2: Convert to fraction form
    8,350.26/12,527.31 = 2,506.98/x
  3. Step 3: Cross multiply
    8,350.26x = 12,527.31 × 2,506.98
  4. Step 4: Simplify right side
    8,350.26x = 31,405,715.62
  5. Step 5: Solve for x
    x = 31,405,715.62/8,350.26
  6. Step 6: Final answer
    x = 3,761.05

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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.