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Finding the Fourth Proportional to 8,267.46, 11,412.09 and 5,473.86

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Solution

The fourth proportional to 8,267.46, 11,412.09 and 5,473.86 is: 7,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.46 : 11,412.09 = 5,473.86 : x
  2. Step 2: Convert to fraction form
    8,267.46/11,412.09 = 5,473.86/x
  3. Step 3: Cross multiply
    8,267.46x = 11,412.09 × 5,473.86
  4. Step 4: Simplify right side
    8,267.46x = 62,468,182.97
  5. Step 5: Solve for x
    x = 62,468,182.97/8,267.46
  6. Step 6: Final answer
    x = 7,555.91

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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.