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Finding the Fourth Proportional to 11,884.69, 16,400.76 and 6,847.06

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Solution

The fourth proportional to 11,884.69, 16,400.76 and 6,847.06 is: 9,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.69 : 16,400.76 = 6,847.06 : x
  2. Step 2: Convert to fraction form
    11,884.69/16,400.76 = 6,847.06/x
  3. Step 3: Cross multiply
    11,884.69x = 16,400.76 × 6,847.06
  4. Step 4: Simplify right side
    11,884.69x = 112,296,987.77
  5. Step 5: Solve for x
    x = 112,296,987.77/11,884.69
  6. Step 6: Final answer
    x = 9,448.88

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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.