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Finding the Fourth Proportional to 8,511.67, 11,751.65 and 7,923.61

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Solution

The fourth proportional to 8,511.67, 11,751.65 and 7,923.61 is: 10,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.67 : 11,751.65 = 7,923.61 : x
  2. Step 2: Convert to fraction form
    8,511.67/11,751.65 = 7,923.61/x
  3. Step 3: Cross multiply
    8,511.67x = 11,751.65 × 7,923.61
  4. Step 4: Simplify right side
    8,511.67x = 93,115,491.46
  5. Step 5: Solve for x
    x = 93,115,491.46/8,511.67
  6. Step 6: Final answer
    x = 10,939.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.