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Finding the Fourth Proportional to 8,537.40, 12,806.78 and 2,694.47

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Solution

The fourth proportional to 8,537.40, 12,806.78 and 2,694.47 is: 4,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,806.78 = 2,694.47 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,806.78 = 2,694.47/x
  3. Step 3: Cross multiply
    8,537.40x = 12,806.78 × 2,694.47
  4. Step 4: Simplify right side
    8,537.40x = 34,507,407.00
  5. Step 5: Solve for x
    x = 34,507,407.00/8,537.40
  6. Step 6: Final answer
    x = 4,041.91

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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.