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Finding the Fourth Proportional to 7,779.28, 11,675.94 and 5,672.80

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Solution

The fourth proportional to 7,779.28, 11,675.94 and 5,672.80 is: 8,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.28 : 11,675.94 = 5,672.80 : x
  2. Step 2: Convert to fraction form
    7,779.28/11,675.94 = 5,672.80/x
  3. Step 3: Cross multiply
    7,779.28x = 11,675.94 × 5,672.80
  4. Step 4: Simplify right side
    7,779.28x = 66,235,272.43
  5. Step 5: Solve for x
    x = 66,235,272.43/7,779.28
  6. Step 6: Final answer
    x = 8,514.32

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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.