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Finding the Fourth Proportional to 11,884.10, 16,400.66 and 6,849.14

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Solution

The fourth proportional to 11,884.10, 16,400.66 and 6,849.14 is: 9,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.10 : 16,400.66 = 6,849.14 : x
  2. Step 2: Convert to fraction form
    11,884.10/16,400.66 = 6,849.14/x
  3. Step 3: Cross multiply
    11,884.10x = 16,400.66 × 6,849.14
  4. Step 4: Simplify right side
    11,884.10x = 112,330,300.18
  5. Step 5: Solve for x
    x = 112,330,300.18/11,884.10
  6. Step 6: Final answer
    x = 9,452.15

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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.