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Finding the Fourth Proportional to 8,285.90, 12,428.85 and 6,821.98

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Solution

The fourth proportional to 8,285.90, 12,428.85 and 6,821.98 is: 10,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.90 : 12,428.85 = 6,821.98 : x
  2. Step 2: Convert to fraction form
    8,285.90/12,428.85 = 6,821.98/x
  3. Step 3: Cross multiply
    8,285.90x = 12,428.85 × 6,821.98
  4. Step 4: Simplify right side
    8,285.90x = 84,789,303.98
  5. Step 5: Solve for x
    x = 84,789,303.98/8,285.90
  6. Step 6: Final answer
    x = 10,232.96

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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.