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Finding the Fourth Proportional to 8,546.96, 12,820.40 and 2,703.56

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Solution

The fourth proportional to 8,546.96, 12,820.40 and 2,703.56 is: 4,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.96 : 12,820.40 = 2,703.56 : x
  2. Step 2: Convert to fraction form
    8,546.96/12,820.40 = 2,703.56/x
  3. Step 3: Cross multiply
    8,546.96x = 12,820.40 × 2,703.56
  4. Step 4: Simplify right side
    8,546.96x = 34,660,720.62
  5. Step 5: Solve for x
    x = 34,660,720.62/8,546.96
  6. Step 6: Final answer
    x = 4,055.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.