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Finding the Fourth Proportional to 10,219.12, 15,325.44 and 3,292

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Solution

The fourth proportional to 10,219.12, 15,325.44 and 3,292 is: 4,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.12 : 15,325.44 = 3,292 : x
  2. Step 2: Convert to fraction form
    10,219.12/15,325.44 = 3,292/x
  3. Step 3: Cross multiply
    10,219.12x = 15,325.44 × 3,292
  4. Step 4: Simplify right side
    10,219.12x = 50,451,348.48
  5. Step 5: Solve for x
    x = 50,451,348.48/10,219.12
  6. Step 6: Final answer
    x = 4,936.96

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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.