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Finding the Fourth Proportional to 8,428.56, 12,645.72 and 3,164.28

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Solution

The fourth proportional to 8,428.56, 12,645.72 and 3,164.28 is: 4,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.56 : 12,645.72 = 3,164.28 : x
  2. Step 2: Convert to fraction form
    8,428.56/12,645.72 = 3,164.28/x
  3. Step 3: Cross multiply
    8,428.56x = 12,645.72 × 3,164.28
  4. Step 4: Simplify right side
    8,428.56x = 40,014,598.88
  5. Step 5: Solve for x
    x = 40,014,598.88/8,428.56
  6. Step 6: Final answer
    x = 4,747.50

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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.