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Finding the Fourth Proportional to 8,453.65, 11,668.46 and 5,584.47

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Solution

The fourth proportional to 8,453.65, 11,668.46 and 5,584.47 is: 7,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.65 : 11,668.46 = 5,584.47 : x
  2. Step 2: Convert to fraction form
    8,453.65/11,668.46 = 5,584.47/x
  3. Step 3: Cross multiply
    8,453.65x = 11,668.46 × 5,584.47
  4. Step 4: Simplify right side
    8,453.65x = 65,162,164.82
  5. Step 5: Solve for x
    x = 65,162,164.82/8,453.65
  6. Step 6: Final answer
    x = 7,708.17

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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.