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Finding the Fourth Proportional to 11,740.72, 16,200.48 and 7,024

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Solution

The fourth proportional to 11,740.72, 16,200.48 and 7,024 is: 9,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.72 : 16,200.48 = 7,024 : x
  2. Step 2: Convert to fraction form
    11,740.72/16,200.48 = 7,024/x
  3. Step 3: Cross multiply
    11,740.72x = 16,200.48 × 7,024
  4. Step 4: Simplify right side
    11,740.72x = 113,792,171.52
  5. Step 5: Solve for x
    x = 113,792,171.52/11,740.72
  6. Step 6: Final answer
    x = 9,692.09

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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.