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Finding the Fourth Proportional to 11,744.60, 16,208.71 and 6,709.64

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Solution

The fourth proportional to 11,744.60, 16,208.71 and 6,709.64 is: 9,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.60 : 16,208.71 = 6,709.64 : x
  2. Step 2: Convert to fraction form
    11,744.60/16,208.71 = 6,709.64/x
  3. Step 3: Cross multiply
    11,744.60x = 16,208.71 × 6,709.64
  4. Step 4: Simplify right side
    11,744.60x = 108,754,511.15
  5. Step 5: Solve for x
    x = 108,754,511.15/11,744.60
  6. Step 6: Final answer
    x = 9,259.96

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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.