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Finding the Fourth Proportional to 8,537.64, 12,806.00 and 3,275.17

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Solution

The fourth proportional to 8,537.64, 12,806.00 and 3,275.17 is: 4,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.64 : 12,806.00 = 3,275.17 : x
  2. Step 2: Convert to fraction form
    8,537.64/12,806.00 = 3,275.17/x
  3. Step 3: Cross multiply
    8,537.64x = 12,806.00 × 3,275.17
  4. Step 4: Simplify right side
    8,537.64x = 41,941,790.91
  5. Step 5: Solve for x
    x = 41,941,790.91/8,537.64
  6. Step 6: Final answer
    x = 4,912.58

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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.