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Finding the Fourth Proportional to 8,141.12, 12,205.48 and 4,446.48

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Solution

The fourth proportional to 8,141.12, 12,205.48 and 4,446.48 is: 6,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.12 : 12,205.48 = 4,446.48 : x
  2. Step 2: Convert to fraction form
    8,141.12/12,205.48 = 4,446.48/x
  3. Step 3: Cross multiply
    8,141.12x = 12,205.48 × 4,446.48
  4. Step 4: Simplify right side
    8,141.12x = 54,271,422.71
  5. Step 5: Solve for x
    x = 54,271,422.71/8,141.12
  6. Step 6: Final answer
    x = 6,666.33

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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.