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Finding the Fourth Proportional to 11,653.57, 16,082.03 and 6,873.62

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Solution

The fourth proportional to 11,653.57, 16,082.03 and 6,873.62 is: 9,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.57 : 16,082.03 = 6,873.62 : x
  2. Step 2: Convert to fraction form
    11,653.57/16,082.03 = 6,873.62/x
  3. Step 3: Cross multiply
    11,653.57x = 16,082.03 × 6,873.62
  4. Step 4: Simplify right side
    11,653.57x = 110,541,728.68
  5. Step 5: Solve for x
    x = 110,541,728.68/11,653.57
  6. Step 6: Final answer
    x = 9,485.66

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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.