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Finding the Fourth Proportional to 8,282.96, 12,423.05 and 2,359.43

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Solution

The fourth proportional to 8,282.96, 12,423.05 and 2,359.43 is: 3,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.96 : 12,423.05 = 2,359.43 : x
  2. Step 2: Convert to fraction form
    8,282.96/12,423.05 = 2,359.43/x
  3. Step 3: Cross multiply
    8,282.96x = 12,423.05 × 2,359.43
  4. Step 4: Simplify right side
    8,282.96x = 29,311,305.06
  5. Step 5: Solve for x
    x = 29,311,305.06/8,282.96
  6. Step 6: Final answer
    x = 3,538.75

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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.