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Finding the Fourth Proportional to 11,178.52, 16,771.56 and 7,021.60

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Solution

The fourth proportional to 11,178.52, 16,771.56 and 7,021.60 is: 10,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.52 : 16,771.56 = 7,021.60 : x
  2. Step 2: Convert to fraction form
    11,178.52/16,771.56 = 7,021.60/x
  3. Step 3: Cross multiply
    11,178.52x = 16,771.56 × 7,021.60
  4. Step 4: Simplify right side
    11,178.52x = 117,763,185.70
  5. Step 5: Solve for x
    x = 117,763,185.70/11,178.52
  6. Step 6: Final answer
    x = 10,534.77

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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.