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Finding the Fourth Proportional to 11,664.35, 17,503.83 and 7,771.49

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Solution

The fourth proportional to 11,664.35, 17,503.83 and 7,771.49 is: 11,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.35 : 17,503.83 = 7,771.49 : x
  2. Step 2: Convert to fraction form
    11,664.35/17,503.83 = 7,771.49/x
  3. Step 3: Cross multiply
    11,664.35x = 17,503.83 × 7,771.49
  4. Step 4: Simplify right side
    11,664.35x = 136,030,839.81
  5. Step 5: Solve for x
    x = 136,030,839.81/11,664.35
  6. Step 6: Final answer
    x = 11,662.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.