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Finding the Fourth Proportional to 8,221.47, 11,344.80 and 4,684.47

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Solution

The fourth proportional to 8,221.47, 11,344.80 and 4,684.47 is: 6,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.47 : 11,344.80 = 4,684.47 : x
  2. Step 2: Convert to fraction form
    8,221.47/11,344.80 = 4,684.47/x
  3. Step 3: Cross multiply
    8,221.47x = 11,344.80 × 4,684.47
  4. Step 4: Simplify right side
    8,221.47x = 53,144,375.26
  5. Step 5: Solve for x
    x = 53,144,375.26/8,221.47
  6. Step 6: Final answer
    x = 6,464.10

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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.