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Finding the Fourth Proportional to 8,201, 11,317.86 and 4,664.36

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Solution

The fourth proportional to 8,201, 11,317.86 and 4,664.36 is: 6,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201 : 11,317.86 = 4,664.36 : x
  2. Step 2: Convert to fraction form
    8,201/11,317.86 = 4,664.36/x
  3. Step 3: Cross multiply
    8,201x = 11,317.86 × 4,664.36
  4. Step 4: Simplify right side
    8,201x = 52,790,573.47
  5. Step 5: Solve for x
    x = 52,790,573.47/8,201
  6. Step 6: Final answer
    x = 6,437.09

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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.