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Finding the Fourth Proportional to 11,779.55, 16,256.12 and 6,744.29

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Solution

The fourth proportional to 11,779.55, 16,256.12 and 6,744.29 is: 9,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.55 : 16,256.12 = 6,744.29 : x
  2. Step 2: Convert to fraction form
    11,779.55/16,256.12 = 6,744.29/x
  3. Step 3: Cross multiply
    11,779.55x = 16,256.12 × 6,744.29
  4. Step 4: Simplify right side
    11,779.55x = 109,635,872.55
  5. Step 5: Solve for x
    x = 109,635,872.55/11,779.55
  6. Step 6: Final answer
    x = 9,307.31

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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.