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Finding the Fourth Proportional to 7,779.96, 11,665.80 and 3,097.56

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Solution

The fourth proportional to 7,779.96, 11,665.80 and 3,097.56 is: 4,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.96 : 11,665.80 = 3,097.56 : x
  2. Step 2: Convert to fraction form
    7,779.96/11,665.80 = 3,097.56/x
  3. Step 3: Cross multiply
    7,779.96x = 11,665.80 × 3,097.56
  4. Step 4: Simplify right side
    7,779.96x = 36,135,515.45
  5. Step 5: Solve for x
    x = 36,135,515.45/7,779.96
  6. Step 6: Final answer
    x = 4,644.69

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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.