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Finding the Fourth Proportional to 11,769.84, 16,241.58 and 6,464.88

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Solution

The fourth proportional to 11,769.84, 16,241.58 and 6,464.88 is: 8,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.84 : 16,241.58 = 6,464.88 : x
  2. Step 2: Convert to fraction form
    11,769.84/16,241.58 = 6,464.88/x
  3. Step 3: Cross multiply
    11,769.84x = 16,241.58 × 6,464.88
  4. Step 4: Simplify right side
    11,769.84x = 104,999,865.71
  5. Step 5: Solve for x
    x = 104,999,865.71/11,769.84
  6. Step 6: Final answer
    x = 8,921.10

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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.