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Finding the Fourth Proportional to 8,632.90, 12,950.78 and 3,084.76

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Solution

The fourth proportional to 8,632.90, 12,950.78 and 3,084.76 is: 4,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.90 : 12,950.78 = 3,084.76 : x
  2. Step 2: Convert to fraction form
    8,632.90/12,950.78 = 3,084.76/x
  3. Step 3: Cross multiply
    8,632.90x = 12,950.78 × 3,084.76
  4. Step 4: Simplify right side
    8,632.90x = 39,950,048.11
  5. Step 5: Solve for x
    x = 39,950,048.11/8,632.90
  6. Step 6: Final answer
    x = 4,627.65

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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.