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Finding the Fourth Proportional to 11,520.35, 15,896.86 and 6,484.49

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Solution

The fourth proportional to 11,520.35, 15,896.86 and 6,484.49 is: 8,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.35 : 15,896.86 = 6,484.49 : x
  2. Step 2: Convert to fraction form
    11,520.35/15,896.86 = 6,484.49/x
  3. Step 3: Cross multiply
    11,520.35x = 15,896.86 × 6,484.49
  4. Step 4: Simplify right side
    11,520.35x = 103,082,993.62
  5. Step 5: Solve for x
    x = 103,082,993.62/11,520.35
  6. Step 6: Final answer
    x = 8,947.90

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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.