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Finding the Fourth Proportional to 11,446.85, 15,796.23 and 6,410.82

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Solution

The fourth proportional to 11,446.85, 15,796.23 and 6,410.82 is: 8,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.85 : 15,796.23 = 6,410.82 : x
  2. Step 2: Convert to fraction form
    11,446.85/15,796.23 = 6,410.82/x
  3. Step 3: Cross multiply
    11,446.85x = 15,796.23 × 6,410.82
  4. Step 4: Simplify right side
    11,446.85x = 101,266,822.40
  5. Step 5: Solve for x
    x = 101,266,822.40/11,446.85
  6. Step 6: Final answer
    x = 8,846.70

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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.