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Finding the Fourth Proportional to 10,576.98, 15,866.82 and 3,181.68

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Solution

The fourth proportional to 10,576.98, 15,866.82 and 3,181.68 is: 4,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.98 : 15,866.82 = 3,181.68 : x
  2. Step 2: Convert to fraction form
    10,576.98/15,866.82 = 3,181.68/x
  3. Step 3: Cross multiply
    10,576.98x = 15,866.82 × 3,181.68
  4. Step 4: Simplify right side
    10,576.98x = 50,483,143.86
  5. Step 5: Solve for x
    x = 50,483,143.86/10,576.98
  6. Step 6: Final answer
    x = 4,772.93

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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.