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Finding the Fourth Proportional to 11,769.71, 16,242.30 and 6,464.64

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Solution

The fourth proportional to 11,769.71, 16,242.30 and 6,464.64 is: 8,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.71 : 16,242.30 = 6,464.64 : x
  2. Step 2: Convert to fraction form
    11,769.71/16,242.30 = 6,464.64/x
  3. Step 3: Cross multiply
    11,769.71x = 16,242.30 × 6,464.64
  4. Step 4: Simplify right side
    11,769.71x = 105,000,622.27
  5. Step 5: Solve for x
    x = 105,000,622.27/11,769.71
  6. Step 6: Final answer
    x = 8,921.26

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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.