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Finding the Fourth Proportional to 11,935.88, 17,904 and 4,144.94

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Solution

The fourth proportional to 11,935.88, 17,904 and 4,144.94 is: 6,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.88 : 17,904 = 4,144.94 : x
  2. Step 2: Convert to fraction form
    11,935.88/17,904 = 4,144.94/x
  3. Step 3: Cross multiply
    11,935.88x = 17,904 × 4,144.94
  4. Step 4: Simplify right side
    11,935.88x = 74,211,005.76
  5. Step 5: Solve for x
    x = 74,211,005.76/11,935.88
  6. Step 6: Final answer
    x = 6,217.47

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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.