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Finding the Fourth Proportional to 8,172, 12,258.18 and 2,016

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Solution

The fourth proportional to 8,172, 12,258.18 and 2,016 is: 3,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172 : 12,258.18 = 2,016 : x
  2. Step 2: Convert to fraction form
    8,172/12,258.18 = 2,016/x
  3. Step 3: Cross multiply
    8,172x = 12,258.18 × 2,016
  4. Step 4: Simplify right side
    8,172x = 24,712,490.88
  5. Step 5: Solve for x
    x = 24,712,490.88/8,172
  6. Step 6: Final answer
    x = 3,024.04

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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.