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Finding the Fourth Proportional to 7,779.29, 11,667.74 and 2,847.78

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Solution

The fourth proportional to 7,779.29, 11,667.74 and 2,847.78 is: 4,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.29 : 11,667.74 = 2,847.78 : x
  2. Step 2: Convert to fraction form
    7,779.29/11,667.74 = 2,847.78/x
  3. Step 3: Cross multiply
    7,779.29x = 11,667.74 × 2,847.78
  4. Step 4: Simplify right side
    7,779.29x = 33,227,142.38
  5. Step 5: Solve for x
    x = 33,227,142.38/7,779.29
  6. Step 6: Final answer
    x = 4,271.23

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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.