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Finding the Fourth Proportional to 10,856.63, 16,287.41 and 3,461.54

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Solution

The fourth proportional to 10,856.63, 16,287.41 and 3,461.54 is: 5,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.63 : 16,287.41 = 3,461.54 : x
  2. Step 2: Convert to fraction form
    10,856.63/16,287.41 = 3,461.54/x
  3. Step 3: Cross multiply
    10,856.63x = 16,287.41 × 3,461.54
  4. Step 4: Simplify right side
    10,856.63x = 56,379,448.43
  5. Step 5: Solve for x
    x = 56,379,448.43/10,856.63
  6. Step 6: Final answer
    x = 5,193.09

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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.