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Finding the Fourth Proportional to 10,716.62, 16,085.30 and 5,173.86

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Solution

The fourth proportional to 10,716.62, 16,085.30 and 5,173.86 is: 7,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.62 : 16,085.30 = 5,173.86 : x
  2. Step 2: Convert to fraction form
    10,716.62/16,085.30 = 5,173.86/x
  3. Step 3: Cross multiply
    10,716.62x = 16,085.30 × 5,173.86
  4. Step 4: Simplify right side
    10,716.62x = 83,223,064.39
  5. Step 5: Solve for x
    x = 83,223,064.39/10,716.62
  6. Step 6: Final answer
    x = 7,765.80

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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.