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Finding the Fourth Proportional to 11,396.69, 15,728.05 and 6,682.49

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Solution

The fourth proportional to 11,396.69, 15,728.05 and 6,682.49 is: 9,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.69 : 15,728.05 = 6,682.49 : x
  2. Step 2: Convert to fraction form
    11,396.69/15,728.05 = 6,682.49/x
  3. Step 3: Cross multiply
    11,396.69x = 15,728.05 × 6,682.49
  4. Step 4: Simplify right side
    11,396.69x = 105,102,464.11
  5. Step 5: Solve for x
    x = 105,102,464.11/11,396.69
  6. Step 6: Final answer
    x = 9,222.19

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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.