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Finding the Fourth Proportional to 10,482.12, 15,715.89 and 3,906.54

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Solution

The fourth proportional to 10,482.12, 15,715.89 and 3,906.54 is: 5,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.12 : 15,715.89 = 3,906.54 : x
  2. Step 2: Convert to fraction form
    10,482.12/15,715.89 = 3,906.54/x
  3. Step 3: Cross multiply
    10,482.12x = 15,715.89 × 3,906.54
  4. Step 4: Simplify right side
    10,482.12x = 61,394,752.92
  5. Step 5: Solve for x
    x = 61,394,752.92/10,482.12
  6. Step 6: Final answer
    x = 5,857.09

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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.