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Finding the Fourth Proportional to 8,292.28, 12,446.58 and 6,914.44

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Solution

The fourth proportional to 8,292.28, 12,446.58 and 6,914.44 is: 10,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.28 : 12,446.58 = 6,914.44 : x
  2. Step 2: Convert to fraction form
    8,292.28/12,446.58 = 6,914.44/x
  3. Step 3: Cross multiply
    8,292.28x = 12,446.58 × 6,914.44
  4. Step 4: Simplify right side
    8,292.28x = 86,061,130.62
  5. Step 5: Solve for x
    x = 86,061,130.62/8,292.28
  6. Step 6: Final answer
    x = 10,378.46

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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.