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Finding the Fourth Proportional to 11,653.65, 16,082.46 and 6,348.85

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Solution

The fourth proportional to 11,653.65, 16,082.46 and 6,348.85 is: 8,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.65 : 16,082.46 = 6,348.85 : x
  2. Step 2: Convert to fraction form
    11,653.65/16,082.46 = 6,348.85/x
  3. Step 3: Cross multiply
    11,653.65x = 16,082.46 × 6,348.85
  4. Step 4: Simplify right side
    11,653.65x = 102,105,085.96
  5. Step 5: Solve for x
    x = 102,105,085.96/11,653.65
  6. Step 6: Final answer
    x = 8,761.64

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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.