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Finding the Fourth Proportional to 8,157.69, 12,238.11 and 3,477.62

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Solution

The fourth proportional to 8,157.69, 12,238.11 and 3,477.62 is: 5,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.69 : 12,238.11 = 3,477.62 : x
  2. Step 2: Convert to fraction form
    8,157.69/12,238.11 = 3,477.62/x
  3. Step 3: Cross multiply
    8,157.69x = 12,238.11 × 3,477.62
  4. Step 4: Simplify right side
    8,157.69x = 42,559,496.10
  5. Step 5: Solve for x
    x = 42,559,496.10/8,157.69
  6. Step 6: Final answer
    x = 5,217.10

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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.