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Finding the Fourth Proportional to 12,779.38, 19,162.59 and 5,847.94

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Solution

The fourth proportional to 12,779.38, 19,162.59 and 5,847.94 is: 8,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.38 : 19,162.59 = 5,847.94 : x
  2. Step 2: Convert to fraction form
    12,779.38/19,162.59 = 5,847.94/x
  3. Step 3: Cross multiply
    12,779.38x = 19,162.59 × 5,847.94
  4. Step 4: Simplify right side
    12,779.38x = 112,061,606.73
  5. Step 5: Solve for x
    x = 112,061,606.73/12,779.38
  6. Step 6: Final answer
    x = 8,768.94

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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.