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Finding the Fourth Proportional to 8,286.16, 12,429.80 and 3,092

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Solution

The fourth proportional to 8,286.16, 12,429.80 and 3,092 is: 4,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.16 : 12,429.80 = 3,092 : x
  2. Step 2: Convert to fraction form
    8,286.16/12,429.80 = 3,092/x
  3. Step 3: Cross multiply
    8,286.16x = 12,429.80 × 3,092
  4. Step 4: Simplify right side
    8,286.16x = 38,432,941.60
  5. Step 5: Solve for x
    x = 38,432,941.60/8,286.16
  6. Step 6: Final answer
    x = 4,638.21

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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.