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Finding the Fourth Proportional to 8,497.30, 12,745.96 and 2,653.92

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Solution

The fourth proportional to 8,497.30, 12,745.96 and 2,653.92 is: 3,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.30 : 12,745.96 = 2,653.92 : x
  2. Step 2: Convert to fraction form
    8,497.30/12,745.96 = 2,653.92/x
  3. Step 3: Cross multiply
    8,497.30x = 12,745.96 × 2,653.92
  4. Step 4: Simplify right side
    8,497.30x = 33,826,758.16
  5. Step 5: Solve for x
    x = 33,826,758.16/8,497.30
  6. Step 6: Final answer
    x = 3,980.88

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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.