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Finding the Fourth Proportional to 8,456.83, 12,689.80 and 3,529.85

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Solution

The fourth proportional to 8,456.83, 12,689.80 and 3,529.85 is: 5,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.83 : 12,689.80 = 3,529.85 : x
  2. Step 2: Convert to fraction form
    8,456.83/12,689.80 = 3,529.85/x
  3. Step 3: Cross multiply
    8,456.83x = 12,689.80 × 3,529.85
  4. Step 4: Simplify right side
    8,456.83x = 44,793,113.43
  5. Step 5: Solve for x
    x = 44,793,113.43/8,456.83
  6. Step 6: Final answer
    x = 5,296.68

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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.