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Finding the Fourth Proportional to 11,710.86, 16,166.27 and 7,467.62

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Solution

The fourth proportional to 11,710.86, 16,166.27 and 7,467.62 is: 10,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.86 : 16,166.27 = 7,467.62 : x
  2. Step 2: Convert to fraction form
    11,710.86/16,166.27 = 7,467.62/x
  3. Step 3: Cross multiply
    11,710.86x = 16,166.27 × 7,467.62
  4. Step 4: Simplify right side
    11,710.86x = 120,723,443.01
  5. Step 5: Solve for x
    x = 120,723,443.01/11,710.86
  6. Step 6: Final answer
    x = 10,308.67

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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.