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Finding the Fourth Proportional to 12,097.50, 16,693.20 and 6,791.58

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Solution

The fourth proportional to 12,097.50, 16,693.20 and 6,791.58 is: 9,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.50 : 16,693.20 = 6,791.58 : x
  2. Step 2: Convert to fraction form
    12,097.50/16,693.20 = 6,791.58/x
  3. Step 3: Cross multiply
    12,097.50x = 16,693.20 × 6,791.58
  4. Step 4: Simplify right side
    12,097.50x = 113,373,203.26
  5. Step 5: Solve for x
    x = 113,373,203.26/12,097.50
  6. Step 6: Final answer
    x = 9,371.62

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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.