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Finding the Fourth Proportional to 10,677.99, 16,027.32 and 5,135.16

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Solution

The fourth proportional to 10,677.99, 16,027.32 and 5,135.16 is: 7,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.99 : 16,027.32 = 5,135.16 : x
  2. Step 2: Convert to fraction form
    10,677.99/16,027.32 = 5,135.16/x
  3. Step 3: Cross multiply
    10,677.99x = 16,027.32 × 5,135.16
  4. Step 4: Simplify right side
    10,677.99x = 82,302,852.57
  5. Step 5: Solve for x
    x = 82,302,852.57/10,677.99
  6. Step 6: Final answer
    x = 7,707.71

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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.