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Finding the Fourth Proportional to 8,506.36, 12,754.50 and 3,306.16

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Solution

The fourth proportional to 8,506.36, 12,754.50 and 3,306.16 is: 4,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.36 : 12,754.50 = 3,306.16 : x
  2. Step 2: Convert to fraction form
    8,506.36/12,754.50 = 3,306.16/x
  3. Step 3: Cross multiply
    8,506.36x = 12,754.50 × 3,306.16
  4. Step 4: Simplify right side
    8,506.36x = 42,168,417.72
  5. Step 5: Solve for x
    x = 42,168,417.72/8,506.36
  6. Step 6: Final answer
    x = 4,957.28

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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.