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Finding the Fourth Proportional to 11,770.08, 16,242.83 and 6,464.89

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Solution

The fourth proportional to 11,770.08, 16,242.83 and 6,464.89 is: 8,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.08 : 16,242.83 = 6,464.89 : x
  2. Step 2: Convert to fraction form
    11,770.08/16,242.83 = 6,464.89/x
  3. Step 3: Cross multiply
    11,770.08x = 16,242.83 × 6,464.89
  4. Step 4: Simplify right side
    11,770.08x = 105,008,147.63
  5. Step 5: Solve for x
    x = 105,008,147.63/11,770.08
  6. Step 6: Final answer
    x = 8,921.62

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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.