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Finding the Fourth Proportional to 8,204.17, 12,295.73 and 7,145.65

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Solution

The fourth proportional to 8,204.17, 12,295.73 and 7,145.65 is: 10,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.17 : 12,295.73 = 7,145.65 : x
  2. Step 2: Convert to fraction form
    8,204.17/12,295.73 = 7,145.65/x
  3. Step 3: Cross multiply
    8,204.17x = 12,295.73 × 7,145.65
  4. Step 4: Simplify right side
    8,204.17x = 87,860,947.35
  5. Step 5: Solve for x
    x = 87,860,947.35/8,204.17
  6. Step 6: Final answer
    x = 10,709.30

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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.