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Finding the Fourth Proportional to 10,716.81, 16,085.55 and 5,174.04

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Solution

The fourth proportional to 10,716.81, 16,085.55 and 5,174.04 is: 7,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.81 : 16,085.55 = 5,174.04 : x
  2. Step 2: Convert to fraction form
    10,716.81/16,085.55 = 5,174.04/x
  3. Step 3: Cross multiply
    10,716.81x = 16,085.55 × 5,174.04
  4. Step 4: Simplify right side
    10,716.81x = 83,227,358.85
  5. Step 5: Solve for x
    x = 83,227,358.85/10,716.81
  6. Step 6: Final answer
    x = 7,766.06

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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.