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Finding the Fourth Proportional to 11,813.74, 17,714.76 and 6,884.62

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Solution

The fourth proportional to 11,813.74, 17,714.76 and 6,884.62 is: 10,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.74 : 17,714.76 = 6,884.62 : x
  2. Step 2: Convert to fraction form
    11,813.74/17,714.76 = 6,884.62/x
  3. Step 3: Cross multiply
    11,813.74x = 17,714.76 × 6,884.62
  4. Step 4: Simplify right side
    11,813.74x = 121,959,390.99
  5. Step 5: Solve for x
    x = 121,959,390.99/11,813.74
  6. Step 6: Final answer
    x = 10,323.52

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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.