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Finding the Fourth Proportional to 8,200.47, 11,317.28 and 4,663.47

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Solution

The fourth proportional to 8,200.47, 11,317.28 and 4,663.47 is: 6,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.47 : 11,317.28 = 4,663.47 : x
  2. Step 2: Convert to fraction form
    8,200.47/11,317.28 = 4,663.47/x
  3. Step 3: Cross multiply
    8,200.47x = 11,317.28 × 4,663.47
  4. Step 4: Simplify right side
    8,200.47x = 52,777,772.44
  5. Step 5: Solve for x
    x = 52,777,772.44/8,200.47
  6. Step 6: Final answer
    x = 6,435.94

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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.