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Finding the Fourth Proportional to 8,216, 12,324.16 and 2,060.16

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Solution

The fourth proportional to 8,216, 12,324.16 and 2,060.16 is: 3,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 12,324.16 = 2,060.16 : x
  2. Step 2: Convert to fraction form
    8,216/12,324.16 = 2,060.16/x
  3. Step 3: Cross multiply
    8,216x = 12,324.16 × 2,060.16
  4. Step 4: Simplify right side
    8,216x = 25,389,741.47
  5. Step 5: Solve for x
    x = 25,389,741.47/8,216
  6. Step 6: Final answer
    x = 3,090.28

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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.