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Finding the Fourth Proportional to 11,847.69, 16,349.69 and 6,542.56

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Solution

The fourth proportional to 11,847.69, 16,349.69 and 6,542.56 is: 9,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.69 : 16,349.69 = 6,542.56 : x
  2. Step 2: Convert to fraction form
    11,847.69/16,349.69 = 6,542.56/x
  3. Step 3: Cross multiply
    11,847.69x = 16,349.69 × 6,542.56
  4. Step 4: Simplify right side
    11,847.69x = 106,968,827.81
  5. Step 5: Solve for x
    x = 106,968,827.81/11,847.69
  6. Step 6: Final answer
    x = 9,028.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.