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Finding the Fourth Proportional to 10,512.12, 15,768.18 and 3,586.68

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Solution

The fourth proportional to 10,512.12, 15,768.18 and 3,586.68 is: 5,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.12 : 15,768.18 = 3,586.68 : x
  2. Step 2: Convert to fraction form
    10,512.12/15,768.18 = 3,586.68/x
  3. Step 3: Cross multiply
    10,512.12x = 15,768.18 × 3,586.68
  4. Step 4: Simplify right side
    10,512.12x = 56,555,415.84
  5. Step 5: Solve for x
    x = 56,555,415.84/10,512.12
  6. Step 6: Final answer
    x = 5,380.02

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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.