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Finding the Fourth Proportional to 8,506.34, 12,760.23 and 2,266.35

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Solution

The fourth proportional to 8,506.34, 12,760.23 and 2,266.35 is: 3,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.34 : 12,760.23 = 2,266.35 : x
  2. Step 2: Convert to fraction form
    8,506.34/12,760.23 = 2,266.35/x
  3. Step 3: Cross multiply
    8,506.34x = 12,760.23 × 2,266.35
  4. Step 4: Simplify right side
    8,506.34x = 28,919,147.26
  5. Step 5: Solve for x
    x = 28,919,147.26/8,506.34
  6. Step 6: Final answer
    x = 3,399.72

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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.