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Finding the Fourth Proportional to 8,163.04, 12,243.96 and 2,617

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Solution

The fourth proportional to 8,163.04, 12,243.96 and 2,617 is: 3,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.04 : 12,243.96 = 2,617 : x
  2. Step 2: Convert to fraction form
    8,163.04/12,243.96 = 2,617/x
  3. Step 3: Cross multiply
    8,163.04x = 12,243.96 × 2,617
  4. Step 4: Simplify right side
    8,163.04x = 32,042,443.32
  5. Step 5: Solve for x
    x = 32,042,443.32/8,163.04
  6. Step 6: Final answer
    x = 3,925.31

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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.