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Finding the Fourth Proportional to 10,709.45, 16,064.12 and 7,144.03

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Solution

The fourth proportional to 10,709.45, 16,064.12 and 7,144.03 is: 10,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.45 : 16,064.12 = 7,144.03 : x
  2. Step 2: Convert to fraction form
    10,709.45/16,064.12 = 7,144.03/x
  3. Step 3: Cross multiply
    10,709.45x = 16,064.12 × 7,144.03
  4. Step 4: Simplify right side
    10,709.45x = 114,762,593.14
  5. Step 5: Solve for x
    x = 114,762,593.14/10,709.45
  6. Step 6: Final answer
    x = 10,716.01

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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.