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Finding the Fourth Proportional to 11,753.20, 17,629.72 and 2,988

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Solution

The fourth proportional to 11,753.20, 17,629.72 and 2,988 is: 4,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.20 : 17,629.72 = 2,988 : x
  2. Step 2: Convert to fraction form
    11,753.20/17,629.72 = 2,988/x
  3. Step 3: Cross multiply
    11,753.20x = 17,629.72 × 2,988
  4. Step 4: Simplify right side
    11,753.20x = 52,677,603.36
  5. Step 5: Solve for x
    x = 52,677,603.36/11,753.20
  6. Step 6: Final answer
    x = 4,481.98

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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.