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Finding the Fourth Proportional to 11,482.14, 15,845.57 and 6,446.84

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Solution

The fourth proportional to 11,482.14, 15,845.57 and 6,446.84 is: 8,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.14 : 15,845.57 = 6,446.84 : x
  2. Step 2: Convert to fraction form
    11,482.14/15,845.57 = 6,446.84/x
  3. Step 3: Cross multiply
    11,482.14x = 15,845.57 × 6,446.84
  4. Step 4: Simplify right side
    11,482.14x = 102,153,743.04
  5. Step 5: Solve for x
    x = 102,153,743.04/11,482.14
  6. Step 6: Final answer
    x = 8,896.75

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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.