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Finding the Fourth Proportional to 8,366.67, 12,549.96 and 2,523.06

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Solution

The fourth proportional to 8,366.67, 12,549.96 and 2,523.06 is: 3,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.67 : 12,549.96 = 2,523.06 : x
  2. Step 2: Convert to fraction form
    8,366.67/12,549.96 = 2,523.06/x
  3. Step 3: Cross multiply
    8,366.67x = 12,549.96 × 2,523.06
  4. Step 4: Simplify right side
    8,366.67x = 31,664,302.08
  5. Step 5: Solve for x
    x = 31,664,302.08/8,366.67
  6. Step 6: Final answer
    x = 3,784.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.