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Finding the Fourth Proportional to 10,973.67, 16,462.13 and 3,181.47

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Solution

The fourth proportional to 10,973.67, 16,462.13 and 3,181.47 is: 4,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.67 : 16,462.13 = 3,181.47 : x
  2. Step 2: Convert to fraction form
    10,973.67/16,462.13 = 3,181.47/x
  3. Step 3: Cross multiply
    10,973.67x = 16,462.13 × 3,181.47
  4. Step 4: Simplify right side
    10,973.67x = 52,373,756.82
  5. Step 5: Solve for x
    x = 52,373,756.82/10,973.67
  6. Step 6: Final answer
    x = 4,772.67

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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.