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Finding the Fourth Proportional to 10,716.64, 16,077.45 and 3,320.71

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Solution

The fourth proportional to 10,716.64, 16,077.45 and 3,320.71 is: 4,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.64 : 16,077.45 = 3,320.71 : x
  2. Step 2: Convert to fraction form
    10,716.64/16,077.45 = 3,320.71/x
  3. Step 3: Cross multiply
    10,716.64x = 16,077.45 × 3,320.71
  4. Step 4: Simplify right side
    10,716.64x = 53,388,548.99
  5. Step 5: Solve for x
    x = 53,388,548.99/10,716.64
  6. Step 6: Final answer
    x = 4,981.84

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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.