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Finding the Fourth Proportional to 11,813.33, 17,714.36 and 6,884.37

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Solution

The fourth proportional to 11,813.33, 17,714.36 and 6,884.37 is: 10,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.33 : 17,714.36 = 6,884.37 : x
  2. Step 2: Convert to fraction form
    11,813.33/17,714.36 = 6,884.37/x
  3. Step 3: Cross multiply
    11,813.33x = 17,714.36 × 6,884.37
  4. Step 4: Simplify right side
    11,813.33x = 121,952,225.76
  5. Step 5: Solve for x
    x = 121,952,225.76/11,813.33
  6. Step 6: Final answer
    x = 10,323.27

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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.