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Finding the Fourth Proportional to 12,790.34, 19,164.65 and 7,849.55

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Solution

The fourth proportional to 12,790.34, 19,164.65 and 7,849.55 is: 11,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.34 : 19,164.65 = 7,849.55 : x
  2. Step 2: Convert to fraction form
    12,790.34/19,164.65 = 7,849.55/x
  3. Step 3: Cross multiply
    12,790.34x = 19,164.65 × 7,849.55
  4. Step 4: Simplify right side
    12,790.34x = 150,433,743.34
  5. Step 5: Solve for x
    x = 150,433,743.34/12,790.34
  6. Step 6: Final answer
    x = 11,761.52

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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.