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Finding the Fourth Proportional to 11,653.93, 16,082.82 and 6,617.98

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Solution

The fourth proportional to 11,653.93, 16,082.82 and 6,617.98 is: 9,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.93 : 16,082.82 = 6,617.98 : x
  2. Step 2: Convert to fraction form
    11,653.93/16,082.82 = 6,617.98/x
  3. Step 3: Cross multiply
    11,653.93x = 16,082.82 × 6,617.98
  4. Step 4: Simplify right side
    11,653.93x = 106,435,801.21
  5. Step 5: Solve for x
    x = 106,435,801.21/11,653.93
  6. Step 6: Final answer
    x = 9,133.04

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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.