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Finding the Fourth Proportional to 12,783.38, 19,158.83 and 5,755.86

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Solution

The fourth proportional to 12,783.38, 19,158.83 and 5,755.86 is: 8,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.38 : 19,158.83 = 5,755.86 : x
  2. Step 2: Convert to fraction form
    12,783.38/19,158.83 = 5,755.86/x
  3. Step 3: Cross multiply
    12,783.38x = 19,158.83 × 5,755.86
  4. Step 4: Simplify right side
    12,783.38x = 110,275,543.24
  5. Step 5: Solve for x
    x = 110,275,543.24/12,783.38
  6. Step 6: Final answer
    x = 8,626.48

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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.