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Finding the Fourth Proportional to 11,482.99, 15,846.39 and 6,447.08

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Solution

The fourth proportional to 11,482.99, 15,846.39 and 6,447.08 is: 8,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.99 : 15,846.39 = 6,447.08 : x
  2. Step 2: Convert to fraction form
    11,482.99/15,846.39 = 6,447.08/x
  3. Step 3: Cross multiply
    11,482.99x = 15,846.39 × 6,447.08
  4. Step 4: Simplify right side
    11,482.99x = 102,162,944.04
  5. Step 5: Solve for x
    x = 102,162,944.04/11,482.99
  6. Step 6: Final answer
    x = 8,896.89

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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.