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Finding the Fourth Proportional to 8,553.09, 12,830.30 and 2,709.75

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Solution

The fourth proportional to 8,553.09, 12,830.30 and 2,709.75 is: 4,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.09 : 12,830.30 = 2,709.75 : x
  2. Step 2: Convert to fraction form
    8,553.09/12,830.30 = 2,709.75/x
  3. Step 3: Cross multiply
    8,553.09x = 12,830.30 × 2,709.75
  4. Step 4: Simplify right side
    8,553.09x = 34,766,950.15
  5. Step 5: Solve for x
    x = 34,766,950.15/8,553.09
  6. Step 6: Final answer
    x = 4,064.84

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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.