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Finding the Fourth Proportional to 10,605.12, 15,909.12 and 3,586.56

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Solution

The fourth proportional to 10,605.12, 15,909.12 and 3,586.56 is: 5,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.12 : 15,909.12 = 3,586.56 : x
  2. Step 2: Convert to fraction form
    10,605.12/15,909.12 = 3,586.56/x
  3. Step 3: Cross multiply
    10,605.12x = 15,909.12 × 3,586.56
  4. Step 4: Simplify right side
    10,605.12x = 57,059,013.43
  5. Step 5: Solve for x
    x = 57,059,013.43/10,605.12
  6. Step 6: Final answer
    x = 5,380.33

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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.