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Finding the Fourth Proportional to 7,779.44, 11,672.61 and 4,080.80

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Solution

The fourth proportional to 7,779.44, 11,672.61 and 4,080.80 is: 6,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.44 : 11,672.61 = 4,080.80 : x
  2. Step 2: Convert to fraction form
    7,779.44/11,672.61 = 4,080.80/x
  3. Step 3: Cross multiply
    7,779.44x = 11,672.61 × 4,080.80
  4. Step 4: Simplify right side
    7,779.44x = 47,633,586.89
  5. Step 5: Solve for x
    x = 47,633,586.89/7,779.44
  6. Step 6: Final answer
    x = 6,123.01

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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.