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Finding the Fourth Proportional to 8,206.41, 11,323.50 and 4,668.94

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Solution

The fourth proportional to 8,206.41, 11,323.50 and 4,668.94 is: 6,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.41 : 11,323.50 = 4,668.94 : x
  2. Step 2: Convert to fraction form
    8,206.41/11,323.50 = 4,668.94/x
  3. Step 3: Cross multiply
    8,206.41x = 11,323.50 × 4,668.94
  4. Step 4: Simplify right side
    8,206.41x = 52,868,738.74
  5. Step 5: Solve for x
    x = 52,868,738.74/8,206.41
  6. Step 6: Final answer
    x = 6,442.37

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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.