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Finding the Fourth Proportional to 8,605.75, 12,907.07 and 2,280.67

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Solution

The fourth proportional to 8,605.75, 12,907.07 and 2,280.67 is: 3,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.75 : 12,907.07 = 2,280.67 : x
  2. Step 2: Convert to fraction form
    8,605.75/12,907.07 = 2,280.67/x
  3. Step 3: Cross multiply
    8,605.75x = 12,907.07 × 2,280.67
  4. Step 4: Simplify right side
    8,605.75x = 29,436,767.34
  5. Step 5: Solve for x
    x = 29,436,767.34/8,605.75
  6. Step 6: Final answer
    x = 3,420.59

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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.