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Finding the Fourth Proportional to 11,477.20, 17,216.52 and 3,686.80

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Solution

The fourth proportional to 11,477.20, 17,216.52 and 3,686.80 is: 5,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.20 : 17,216.52 = 3,686.80 : x
  2. Step 2: Convert to fraction form
    11,477.20/17,216.52 = 3,686.80/x
  3. Step 3: Cross multiply
    11,477.20x = 17,216.52 × 3,686.80
  4. Step 4: Simplify right side
    11,477.20x = 63,473,865.94
  5. Step 5: Solve for x
    x = 63,473,865.94/11,477.20
  6. Step 6: Final answer
    x = 5,530.43

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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.