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Finding the Fourth Proportional to 8,537.56, 12,806.40 and 2,694.76

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Solution

The fourth proportional to 8,537.56, 12,806.40 and 2,694.76 is: 4,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.56 : 12,806.40 = 2,694.76 : x
  2. Step 2: Convert to fraction form
    8,537.56/12,806.40 = 2,694.76/x
  3. Step 3: Cross multiply
    8,537.56x = 12,806.40 × 2,694.76
  4. Step 4: Simplify right side
    8,537.56x = 34,510,174.46
  5. Step 5: Solve for x
    x = 34,510,174.46/8,537.56
  6. Step 6: Final answer
    x = 4,042.16

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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.