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Finding the Fourth Proportional to 8,203.96, 11,322.66 and 4,668.04

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Solution

The fourth proportional to 8,203.96, 11,322.66 and 4,668.04 is: 6,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.96 : 11,322.66 = 4,668.04 : x
  2. Step 2: Convert to fraction form
    8,203.96/11,322.66 = 4,668.04/x
  3. Step 3: Cross multiply
    8,203.96x = 11,322.66 × 4,668.04
  4. Step 4: Simplify right side
    8,203.96x = 52,854,629.79
  5. Step 5: Solve for x
    x = 52,854,629.79/8,203.96
  6. Step 6: Final answer
    x = 6,442.58

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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.