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Finding the Fourth Proportional to 10,468.36, 15,693.90 and 7,694.92

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Solution

The fourth proportional to 10,468.36, 15,693.90 and 7,694.92 is: 11,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.36 : 15,693.90 = 7,694.92 : x
  2. Step 2: Convert to fraction form
    10,468.36/15,693.90 = 7,694.92/x
  3. Step 3: Cross multiply
    10,468.36x = 15,693.90 × 7,694.92
  4. Step 4: Simplify right side
    10,468.36x = 120,763,304.99
  5. Step 5: Solve for x
    x = 120,763,304.99/10,468.36
  6. Step 6: Final answer
    x = 11,536.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.