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Finding the Fourth Proportional to 11,880.17, 17,784.75 and 7,185.98

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Solution

The fourth proportional to 11,880.17, 17,784.75 and 7,185.98 is: 10,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.17 : 17,784.75 = 7,185.98 : x
  2. Step 2: Convert to fraction form
    11,880.17/17,784.75 = 7,185.98/x
  3. Step 3: Cross multiply
    11,880.17x = 17,784.75 × 7,185.98
  4. Step 4: Simplify right side
    11,880.17x = 127,800,768.88
  5. Step 5: Solve for x
    x = 127,800,768.88/11,880.17
  6. Step 6: Final answer
    x = 10,757.49

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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.