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Finding the Fourth Proportional to 11,830.08, 17,757.43 and 8,713.61

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Solution

The fourth proportional to 11,830.08, 17,757.43 and 8,713.61 is: 13,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.08 : 17,757.43 = 8,713.61 : x
  2. Step 2: Convert to fraction form
    11,830.08/17,757.43 = 8,713.61/x
  3. Step 3: Cross multiply
    11,830.08x = 17,757.43 × 8,713.61
  4. Step 4: Simplify right side
    11,830.08x = 154,731,187.27
  5. Step 5: Solve for x
    x = 154,731,187.27/11,830.08
  6. Step 6: Final answer
    x = 13,079.47

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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.