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Finding the Fourth Proportional to 8,506.27, 12,754.50 and 3,306.07

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Solution

The fourth proportional to 8,506.27, 12,754.50 and 3,306.07 is: 4,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.27 : 12,754.50 = 3,306.07 : x
  2. Step 2: Convert to fraction form
    8,506.27/12,754.50 = 3,306.07/x
  3. Step 3: Cross multiply
    8,506.27x = 12,754.50 × 3,306.07
  4. Step 4: Simplify right side
    8,506.27x = 42,167,269.82
  5. Step 5: Solve for x
    x = 42,167,269.82/8,506.27
  6. Step 6: Final answer
    x = 4,957.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.