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Finding the Fourth Proportional to 12,111.85, 16,714.37 and 6,806.71

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Solution

The fourth proportional to 12,111.85, 16,714.37 and 6,806.71 is: 9,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.85 : 16,714.37 = 6,806.71 : x
  2. Step 2: Convert to fraction form
    12,111.85/16,714.37 = 6,806.71/x
  3. Step 3: Cross multiply
    12,111.85x = 16,714.37 × 6,806.71
  4. Step 4: Simplify right side
    12,111.85x = 113,769,869.42
  5. Step 5: Solve for x
    x = 113,769,869.42/12,111.85
  6. Step 6: Final answer
    x = 9,393.27

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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.