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Finding the Fourth Proportional to 11,758.38, 17,634.33 and 8,443.86

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Solution

The fourth proportional to 11,758.38, 17,634.33 and 8,443.86 is: 12,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.38 : 17,634.33 = 8,443.86 : x
  2. Step 2: Convert to fraction form
    11,758.38/17,634.33 = 8,443.86/x
  3. Step 3: Cross multiply
    11,758.38x = 17,634.33 × 8,443.86
  4. Step 4: Simplify right side
    11,758.38x = 148,901,813.71
  5. Step 5: Solve for x
    x = 148,901,813.71/11,758.38
  6. Step 6: Final answer
    x = 12,663.46

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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.