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Finding the Fourth Proportional to 8,456.90, 12,685.35 and 4,082.90

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Solution

The fourth proportional to 8,456.90, 12,685.35 and 4,082.90 is: 6,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.90 : 12,685.35 = 4,082.90 : x
  2. Step 2: Convert to fraction form
    8,456.90/12,685.35 = 4,082.90/x
  3. Step 3: Cross multiply
    8,456.90x = 12,685.35 × 4,082.90
  4. Step 4: Simplify right side
    8,456.90x = 51,793,015.52
  5. Step 5: Solve for x
    x = 51,793,015.52/8,456.90
  6. Step 6: Final answer
    x = 6,124.35

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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.