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Finding the Fourth Proportional to 8,285.67, 12,411.72 and 3,837.06

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Solution

The fourth proportional to 8,285.67, 12,411.72 and 3,837.06 is: 5,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.67 : 12,411.72 = 3,837.06 : x
  2. Step 2: Convert to fraction form
    8,285.67/12,411.72 = 3,837.06/x
  3. Step 3: Cross multiply
    8,285.67x = 12,411.72 × 3,837.06
  4. Step 4: Simplify right side
    8,285.67x = 47,624,514.34
  5. Step 5: Solve for x
    x = 47,624,514.34/8,285.67
  6. Step 6: Final answer
    x = 5,747.82

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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.