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Finding the Fourth Proportional to 11,357.27, 17,038.07 and 3,963.84

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Solution

The fourth proportional to 11,357.27, 17,038.07 and 3,963.84 is: 5,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.27 : 17,038.07 = 3,963.84 : x
  2. Step 2: Convert to fraction form
    11,357.27/17,038.07 = 3,963.84/x
  3. Step 3: Cross multiply
    11,357.27x = 17,038.07 × 3,963.84
  4. Step 4: Simplify right side
    11,357.27x = 67,536,163.57
  5. Step 5: Solve for x
    x = 67,536,163.57/11,357.27
  6. Step 6: Final answer
    x = 5,946.52

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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.