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Finding the Fourth Proportional to 11,814.93, 16,304.22 and 6,779.07

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Solution

The fourth proportional to 11,814.93, 16,304.22 and 6,779.07 is: 9,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.93 : 16,304.22 = 6,779.07 : x
  2. Step 2: Convert to fraction form
    11,814.93/16,304.22 = 6,779.07/x
  3. Step 3: Cross multiply
    11,814.93x = 16,304.22 × 6,779.07
  4. Step 4: Simplify right side
    11,814.93x = 110,527,448.68
  5. Step 5: Solve for x
    x = 110,527,448.68/11,814.93
  6. Step 6: Final answer
    x = 9,354.90

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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.