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Finding the Fourth Proportional to 8,290.34, 12,451.46 and 7,107.08

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Solution

The fourth proportional to 8,290.34, 12,451.46 and 7,107.08 is: 10,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.34 : 12,451.46 = 7,107.08 : x
  2. Step 2: Convert to fraction form
    8,290.34/12,451.46 = 7,107.08/x
  3. Step 3: Cross multiply
    8,290.34x = 12,451.46 × 7,107.08
  4. Step 4: Simplify right side
    8,290.34x = 88,493,522.34
  5. Step 5: Solve for x
    x = 88,493,522.34/8,290.34
  6. Step 6: Final answer
    x = 10,674.29

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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.