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Finding the Fourth Proportional to 11,769.69, 16,242.54 and 6,464.50

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Solution

The fourth proportional to 11,769.69, 16,242.54 and 6,464.50 is: 8,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.69 : 16,242.54 = 6,464.50 : x
  2. Step 2: Convert to fraction form
    11,769.69/16,242.54 = 6,464.50/x
  3. Step 3: Cross multiply
    11,769.69x = 16,242.54 × 6,464.50
  4. Step 4: Simplify right side
    11,769.69x = 104,999,899.83
  5. Step 5: Solve for x
    x = 104,999,899.83/11,769.69
  6. Step 6: Final answer
    x = 8,921.21

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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.