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Finding the Fourth Proportional to 8,405.83, 12,608.80 and 3,142.03

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Solution

The fourth proportional to 8,405.83, 12,608.80 and 3,142.03 is: 4,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.83 : 12,608.80 = 3,142.03 : x
  2. Step 2: Convert to fraction form
    8,405.83/12,608.80 = 3,142.03/x
  3. Step 3: Cross multiply
    8,405.83x = 12,608.80 × 3,142.03
  4. Step 4: Simplify right side
    8,405.83x = 39,617,164.82
  5. Step 5: Solve for x
    x = 39,617,164.82/8,405.83
  6. Step 6: Final answer
    x = 4,713.06

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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.