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Finding the Fourth Proportional to 11,779.13, 16,254.44 and 6,743.39

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Solution

The fourth proportional to 11,779.13, 16,254.44 and 6,743.39 is: 9,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.13 : 16,254.44 = 6,743.39 : x
  2. Step 2: Convert to fraction form
    11,779.13/16,254.44 = 6,743.39/x
  3. Step 3: Cross multiply
    11,779.13x = 16,254.44 × 6,743.39
  4. Step 4: Simplify right side
    11,779.13x = 109,609,994.43
  5. Step 5: Solve for x
    x = 109,609,994.43/11,779.13
  6. Step 6: Final answer
    x = 9,305.44

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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.