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Finding the Fourth Proportional to 11,884.07, 16,404.14 and 7,350.22

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Solution

The fourth proportional to 11,884.07, 16,404.14 and 7,350.22 is: 10,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.07 : 16,404.14 = 7,350.22 : x
  2. Step 2: Convert to fraction form
    11,884.07/16,404.14 = 7,350.22/x
  3. Step 3: Cross multiply
    11,884.07x = 16,404.14 × 7,350.22
  4. Step 4: Simplify right side
    11,884.07x = 120,574,037.91
  5. Step 5: Solve for x
    x = 120,574,037.91/11,884.07
  6. Step 6: Final answer
    x = 10,145.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.