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Finding the Fourth Proportional to 8,184.72, 12,277.20 and 2,028.72

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Solution

The fourth proportional to 8,184.72, 12,277.20 and 2,028.72 is: 3,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.72 : 12,277.20 = 2,028.72 : x
  2. Step 2: Convert to fraction form
    8,184.72/12,277.20 = 2,028.72/x
  3. Step 3: Cross multiply
    8,184.72x = 12,277.20 × 2,028.72
  4. Step 4: Simplify right side
    8,184.72x = 24,907,001.18
  5. Step 5: Solve for x
    x = 24,907,001.18/8,184.72
  6. Step 6: Final answer
    x = 3,043.11

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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.