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Finding the Fourth Proportional to 8,423.42, 12,634.66 and 2,580.03

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Solution

The fourth proportional to 8,423.42, 12,634.66 and 2,580.03 is: 3,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.42 : 12,634.66 = 2,580.03 : x
  2. Step 2: Convert to fraction form
    8,423.42/12,634.66 = 2,580.03/x
  3. Step 3: Cross multiply
    8,423.42x = 12,634.66 × 2,580.03
  4. Step 4: Simplify right side
    8,423.42x = 32,597,805.06
  5. Step 5: Solve for x
    x = 32,597,805.06/8,423.42
  6. Step 6: Final answer
    x = 3,869.90

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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.