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Finding the Fourth Proportional to 8,216.16, 12,323.92 and 2,744.16

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Solution

The fourth proportional to 8,216.16, 12,323.92 and 2,744.16 is: 4,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.16 : 12,323.92 = 2,744.16 : x
  2. Step 2: Convert to fraction form
    8,216.16/12,323.92 = 2,744.16/x
  3. Step 3: Cross multiply
    8,216.16x = 12,323.92 × 2,744.16
  4. Step 4: Simplify right side
    8,216.16x = 33,818,808.31
  5. Step 5: Solve for x
    x = 33,818,808.31/8,216.16
  6. Step 6: Final answer
    x = 4,116.13

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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.